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Finding the Fourth Proportional to 387,499.52, 534,797.16 and 217,730

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Solution

The fourth proportional to 387,499.52, 534,797.16 and 217,730 is: 300,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,499.52 : 534,797.16 = 217,730 : x
  2. Step 2: Convert to fraction form
    387,499.52/534,797.16 = 217,730/x
  3. Step 3: Cross multiply
    387,499.52x = 534,797.16 × 217,730
  4. Step 4: Simplify right side
    387,499.52x = 116,441,385,646.80
  5. Step 5: Solve for x
    x = 116,441,385,646.80/387,499.52
  6. Step 6: Final answer
    x = 300,494.27

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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.