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Finding the Fourth Proportional to 323,712.60, 485,453.70 and 146,304.60

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Solution

The fourth proportional to 323,712.60, 485,453.70 and 146,304.60 is: 219,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,712.60 : 485,453.70 = 146,304.60 : x
  2. Step 2: Convert to fraction form
    323,712.60/485,453.70 = 146,304.60/x
  3. Step 3: Cross multiply
    323,712.60x = 485,453.70 × 146,304.60
  4. Step 4: Simplify right side
    323,712.60x = 71,024,109,397.02
  5. Step 5: Solve for x
    x = 71,024,109,397.02/323,712.60
  6. Step 6: Final answer
    x = 219,404.83

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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.