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Finding the Fourth Proportional to 399,813.46, 551,689.32 and 256,767.28

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Solution

The fourth proportional to 399,813.46, 551,689.32 and 256,767.28 is: 354,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,813.46 : 551,689.32 = 256,767.28 : x
  2. Step 2: Convert to fraction form
    399,813.46/551,689.32 = 256,767.28/x
  3. Step 3: Cross multiply
    399,813.46x = 551,689.32 × 256,767.28
  4. Step 4: Simplify right side
    399,813.46x = 141,655,766,101.45
  5. Step 5: Solve for x
    x = 141,655,766,101.45/399,813.46
  6. Step 6: Final answer
    x = 354,304.65

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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.