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Finding the Fourth Proportional to 390,704.82, 539,001.63 and 229,487.25

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Solution

The fourth proportional to 390,704.82, 539,001.63 and 229,487.25 is: 316,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,704.82 : 539,001.63 = 229,487.25 : x
  2. Step 2: Convert to fraction form
    390,704.82/539,001.63 = 229,487.25/x
  3. Step 3: Cross multiply
    390,704.82x = 539,001.63 × 229,487.25
  4. Step 4: Simplify right side
    390,704.82x = 123,694,001,814.22
  5. Step 5: Solve for x
    x = 123,694,001,814.22/390,704.82
  6. Step 6: Final answer
    x = 316,591.95

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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.