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Finding the Fourth Proportional to 261,477.60, 391,294.80 and 239,359.20

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Solution

The fourth proportional to 261,477.60, 391,294.80 and 239,359.20 is: 358,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,477.60 : 391,294.80 = 239,359.20 : x
  2. Step 2: Convert to fraction form
    261,477.60/391,294.80 = 239,359.20/x
  3. Step 3: Cross multiply
    261,477.60x = 391,294.80 × 239,359.20
  4. Step 4: Simplify right side
    261,477.60x = 93,660,010,292.16
  5. Step 5: Solve for x
    x = 93,660,010,292.16/261,477.60
  6. Step 6: Final answer
    x = 358,195.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.