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Finding the Fourth Proportional to 457,000.43, 631,864.49 and 400,249.13

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Solution

The fourth proportional to 457,000.43, 631,864.49 and 400,249.13 is: 553,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,000.43 : 631,864.49 = 400,249.13 : x
  2. Step 2: Convert to fraction form
    457,000.43/631,864.49 = 400,249.13/x
  3. Step 3: Cross multiply
    457,000.43x = 631,864.49 × 400,249.13
  4. Step 4: Simplify right side
    457,000.43x = 252,903,207,239.83
  5. Step 5: Solve for x
    x = 252,903,207,239.83/457,000.43
  6. Step 6: Final answer
    x = 553,398.19

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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.