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Finding the Fourth Proportional to 399,874.64, 551,887.56 and 230,097.36

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Solution

The fourth proportional to 399,874.64, 551,887.56 and 230,097.36 is: 317,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,874.64 : 551,887.56 = 230,097.36 : x
  2. Step 2: Convert to fraction form
    399,874.64/551,887.56 = 230,097.36/x
  3. Step 3: Cross multiply
    399,874.64x = 551,887.56 × 230,097.36
  4. Step 4: Simplify right side
    399,874.64x = 126,987,870,572.84
  5. Step 5: Solve for x
    x = 126,987,870,572.84/399,874.64
  6. Step 6: Final answer
    x = 317,569.20

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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.