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Finding the Fourth Proportional to 317,407.52, 438,021.15 and 174,169.95

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Solution

The fourth proportional to 317,407.52, 438,021.15 and 174,169.95 is: 240,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,407.52 : 438,021.15 = 174,169.95 : x
  2. Step 2: Convert to fraction form
    317,407.52/438,021.15 = 174,169.95/x
  3. Step 3: Cross multiply
    317,407.52x = 438,021.15 × 174,169.95
  4. Step 4: Simplify right side
    317,407.52x = 76,290,121,794.44
  5. Step 5: Solve for x
    x = 76,290,121,794.44/317,407.52
  6. Step 6: Final answer
    x = 240,353.86

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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.