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Finding the Fourth Proportional to 460,711.86, 635,833.98 and 256,781.40

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Solution

The fourth proportional to 460,711.86, 635,833.98 and 256,781.40 is: 354,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,711.86 : 635,833.98 = 256,781.40 : x
  2. Step 2: Convert to fraction form
    460,711.86/635,833.98 = 256,781.40/x
  3. Step 3: Cross multiply
    460,711.86x = 635,833.98 × 256,781.40
  4. Step 4: Simplify right side
    460,711.86x = 163,270,339,551.97
  5. Step 5: Solve for x
    x = 163,270,339,551.97/460,711.86
  6. Step 6: Final answer
    x = 354,387.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.