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Finding the Fourth Proportional to 323,538.17, 485,308.45 and 98,897.73

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Solution

The fourth proportional to 323,538.17, 485,308.45 and 98,897.73 is: 148,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,538.17 : 485,308.45 = 98,897.73 : x
  2. Step 2: Convert to fraction form
    323,538.17/485,308.45 = 98,897.73/x
  3. Step 3: Cross multiply
    323,538.17x = 485,308.45 × 98,897.73
  4. Step 4: Simplify right side
    323,538.17x = 47,995,905,020.85
  5. Step 5: Solve for x
    x = 47,995,905,020.85/323,538.17
  6. Step 6: Final answer
    x = 148,346.96

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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.