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Finding the Fourth Proportional to 315,468.53, 435,348.05 and 172,231.86

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Solution

The fourth proportional to 315,468.53, 435,348.05 and 172,231.86 is: 237,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,468.53 : 435,348.05 = 172,231.86 : x
  2. Step 2: Convert to fraction form
    315,468.53/435,348.05 = 172,231.86/x
  3. Step 3: Cross multiply
    315,468.53x = 435,348.05 × 172,231.86
  4. Step 4: Simplify right side
    315,468.53x = 74,980,803,537.71
  5. Step 5: Solve for x
    x = 74,980,803,537.71/315,468.53
  6. Step 6: Final answer
    x = 237,680.78

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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.