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Finding the Fourth Proportional to 317,886.52, 476,854.40 and 90,178.30

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Solution

The fourth proportional to 317,886.52, 476,854.40 and 90,178.30 is: 135,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,886.52 : 476,854.40 = 90,178.30 : x
  2. Step 2: Convert to fraction form
    317,886.52/476,854.40 = 90,178.30/x
  3. Step 3: Cross multiply
    317,886.52x = 476,854.40 × 90,178.30
  4. Step 4: Simplify right side
    317,886.52x = 43,001,919,139.52
  5. Step 5: Solve for x
    x = 43,001,919,139.52/317,886.52
  6. Step 6: Final answer
    x = 135,274.43

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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.