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Finding the Fourth Proportional to 317,458.76, 438,091.76 and 174,221.16

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Solution

The fourth proportional to 317,458.76, 438,091.76 and 174,221.16 is: 240,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,458.76 : 438,091.76 = 174,221.16 : x
  2. Step 2: Convert to fraction form
    317,458.76/438,091.76 = 174,221.16/x
  3. Step 3: Cross multiply
    317,458.76x = 438,091.76 × 174,221.16
  4. Step 4: Simplify right side
    317,458.76x = 76,324,854,613.64
  5. Step 5: Solve for x
    x = 76,324,854,613.64/317,458.76
  6. Step 6: Final answer
    x = 240,424.47

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1.5x scale

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.