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Finding the Fourth Proportional to 317,689.28, 476,393.96 and 149,257.48

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Solution

The fourth proportional to 317,689.28, 476,393.96 and 149,257.48 is: 223,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,689.28 : 476,393.96 = 149,257.48 : x
  2. Step 2: Convert to fraction form
    317,689.28/476,393.96 = 149,257.48/x
  3. Step 3: Cross multiply
    317,689.28x = 476,393.96 × 149,257.48
  4. Step 4: Simplify right side
    317,689.28x = 71,105,361,956.82
  5. Step 5: Solve for x
    x = 71,105,361,956.82/317,689.28
  6. Step 6: Final answer
    x = 223,820.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.