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Finding the Fourth Proportional to 642,713.80, 964,070.70 and 476,825.80

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Solution

The fourth proportional to 642,713.80, 964,070.70 and 476,825.80 is: 715,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,713.80 : 964,070.70 = 476,825.80 : x
  2. Step 2: Convert to fraction form
    642,713.80/964,070.70 = 476,825.80/x
  3. Step 3: Cross multiply
    642,713.80x = 964,070.70 × 476,825.80
  4. Step 4: Simplify right side
    642,713.80x = 459,693,782,784.06
  5. Step 5: Solve for x
    x = 459,693,782,784.06/642,713.80
  6. Step 6: Final answer
    x = 715,238.70

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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.