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Finding the Fourth Proportional to 314,938.20, 472,407.30 and 172,728.52

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Solution

The fourth proportional to 314,938.20, 472,407.30 and 172,728.52 is: 259,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938.20 : 472,407.30 = 172,728.52 : x
  2. Step 2: Convert to fraction form
    314,938.20/472,407.30 = 172,728.52/x
  3. Step 3: Cross multiply
    314,938.20x = 472,407.30 × 172,728.52
  4. Step 4: Simplify right side
    314,938.20x = 81,598,213,766.20
  5. Step 5: Solve for x
    x = 81,598,213,766.20/314,938.20
  6. Step 6: Final answer
    x = 259,092.78

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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.