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Finding the Fourth Proportional to 317,445.86, 438,074.34 and 172,251.02

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Solution

The fourth proportional to 317,445.86, 438,074.34 and 172,251.02 is: 237,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,445.86 : 438,074.34 = 172,251.02 : x
  2. Step 2: Convert to fraction form
    317,445.86/438,074.34 = 172,251.02/x
  3. Step 3: Cross multiply
    317,445.86x = 438,074.34 × 172,251.02
  4. Step 4: Simplify right side
    317,445.86x = 75,458,751,900.83
  5. Step 5: Solve for x
    x = 75,458,751,900.83/317,445.86
  6. Step 6: Final answer
    x = 237,705.89

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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.