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Finding the Fourth Proportional to 315,471.53, 435,352.19 and 172,234.86

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Solution

The fourth proportional to 315,471.53, 435,352.19 and 172,234.86 is: 237,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,471.53 : 435,352.19 = 172,234.86 : x
  2. Step 2: Convert to fraction form
    315,471.53/435,352.19 = 172,234.86/x
  3. Step 3: Cross multiply
    315,471.53x = 435,352.19 × 172,234.86
  4. Step 4: Simplify right side
    315,471.53x = 74,982,823,495.34
  5. Step 5: Solve for x
    x = 74,982,823,495.34/315,471.53
  6. Step 6: Final answer
    x = 237,684.91

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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.