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Finding the Fourth Proportional to 642,721.80, 964,082.70 and 476,833.80

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Solution

The fourth proportional to 642,721.80, 964,082.70 and 476,833.80 is: 715,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,721.80 : 964,082.70 = 476,833.80 : x
  2. Step 2: Convert to fraction form
    642,721.80/964,082.70 = 476,833.80/x
  3. Step 3: Cross multiply
    642,721.80x = 964,082.70 × 476,833.80
  4. Step 4: Simplify right side
    642,721.80x = 459,707,217,355.26
  5. Step 5: Solve for x
    x = 459,707,217,355.26/642,721.80
  6. Step 6: Final answer
    x = 715,250.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.