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Finding the Fourth Proportional to 315,691.60, 435,663.78 and 172,454.02

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Solution

The fourth proportional to 315,691.60, 435,663.78 and 172,454.02 is: 237,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,691.60 : 435,663.78 = 172,454.02 : x
  2. Step 2: Convert to fraction form
    315,691.60/435,663.78 = 172,454.02/x
  3. Step 3: Cross multiply
    315,691.60x = 435,663.78 × 172,454.02
  4. Step 4: Simplify right side
    315,691.60x = 75,131,970,229.40
  5. Step 5: Solve for x
    x = 75,131,970,229.40/315,691.60
  6. Step 6: Final answer
    x = 237,991.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.