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Finding the Fourth Proportional to 390,104.89, 584,991.17 and 153,281.44

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Solution

The fourth proportional to 390,104.89, 584,991.17 and 153,281.44 is: 229,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,104.89 : 584,991.17 = 153,281.44 : x
  2. Step 2: Convert to fraction form
    390,104.89/584,991.17 = 153,281.44/x
  3. Step 3: Cross multiply
    390,104.89x = 584,991.17 × 153,281.44
  4. Step 4: Simplify right side
    390,104.89x = 89,668,287,845.61
  5. Step 5: Solve for x
    x = 89,668,287,845.61/390,104.89
  6. Step 6: Final answer
    x = 229,856.87

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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.