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Finding the Fourth Proportional to 317,853.40, 438,635.61 and 172,657.86

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Solution

The fourth proportional to 317,853.40, 438,635.61 and 172,657.86 is: 238,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,853.40 : 438,635.61 = 172,657.86 : x
  2. Step 2: Convert to fraction form
    317,853.40/438,635.61 = 172,657.86/x
  3. Step 3: Cross multiply
    317,853.40x = 438,635.61 × 172,657.86
  4. Step 4: Simplify right side
    317,853.40x = 75,733,887,387.28
  5. Step 5: Solve for x
    x = 75,733,887,387.28/317,853.40
  6. Step 6: Final answer
    x = 238,266.72

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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.