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Finding the Fourth Proportional to 485,314.76, 727,974 and 148,354.11

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Solution

The fourth proportional to 485,314.76, 727,974 and 148,354.11 is: 222,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,314.76 : 727,974 = 148,354.11 : x
  2. Step 2: Convert to fraction form
    485,314.76/727,974 = 148,354.11/x
  3. Step 3: Cross multiply
    485,314.76x = 727,974 × 148,354.11
  4. Step 4: Simplify right side
    485,314.76x = 107,997,934,873.14
  5. Step 5: Solve for x
    x = 107,997,934,873.14/485,314.76
  6. Step 6: Final answer
    x = 222,531.73

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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.