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Finding the Fourth Proportional to 642,805.61, 964,170.14 and 287,724.29

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Solution

The fourth proportional to 642,805.61, 964,170.14 and 287,724.29 is: 431,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,805.61 : 964,170.14 = 287,724.29 : x
  2. Step 2: Convert to fraction form
    642,805.61/964,170.14 = 287,724.29/x
  3. Step 3: Cross multiply
    642,805.61x = 964,170.14 × 287,724.29
  4. Step 4: Simplify right side
    642,805.61x = 277,415,162,711.23
  5. Step 5: Solve for x
    x = 277,415,162,711.23/642,805.61
  6. Step 6: Final answer
    x = 431,569.30

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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.