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Finding the Fourth Proportional to 447,505.31, 615,997.59 and 390,044.78

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Solution

The fourth proportional to 447,505.31, 615,997.59 and 390,044.78 is: 536,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,505.31 : 615,997.59 = 390,044.78 : x
  2. Step 2: Convert to fraction form
    447,505.31/615,997.59 = 390,044.78/x
  3. Step 3: Cross multiply
    447,505.31x = 615,997.59 × 390,044.78
  4. Step 4: Simplify right side
    447,505.31x = 240,266,641,392.09
  5. Step 5: Solve for x
    x = 240,266,641,392.09/447,505.31
  6. Step 6: Final answer
    x = 536,902.33

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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.