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Finding the Fourth Proportional to 390,600, 539,023.14 and 229,469.76

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Solution

The fourth proportional to 390,600, 539,023.14 and 229,469.76 is: 316,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,600 : 539,023.14 = 229,469.76 : x
  2. Step 2: Convert to fraction form
    390,600/539,023.14 = 229,469.76/x
  3. Step 3: Cross multiply
    390,600x = 539,023.14 × 229,469.76
  4. Step 4: Simplify right side
    390,600x = 123,689,510,570.25
  5. Step 5: Solve for x
    x = 123,689,510,570.25/390,600
  6. Step 6: Final answer
    x = 316,665.41

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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.