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Finding the Fourth Proportional to 316,194.10, 436,342.70 and 172,952.88

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Solution

The fourth proportional to 316,194.10, 436,342.70 and 172,952.88 is: 238,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,194.10 : 436,342.70 = 172,952.88 : x
  2. Step 2: Convert to fraction form
    316,194.10/436,342.70 = 172,952.88/x
  3. Step 3: Cross multiply
    316,194.10x = 436,342.70 × 172,952.88
  4. Step 4: Simplify right side
    316,194.10x = 75,466,726,631.98
  5. Step 5: Solve for x
    x = 75,466,726,631.98/316,194.10
  6. Step 6: Final answer
    x = 238,672.15

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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.