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Finding the Fourth Proportional to 432,272.80, 647,948.40 and 165,930.40

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Solution

The fourth proportional to 432,272.80, 647,948.40 and 165,930.40 is: 248,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,272.80 : 647,948.40 = 165,930.40 : x
  2. Step 2: Convert to fraction form
    432,272.80/647,948.40 = 165,930.40/x
  3. Step 3: Cross multiply
    432,272.80x = 647,948.40 × 165,930.40
  4. Step 4: Simplify right side
    432,272.80x = 107,514,337,191.36
  5. Step 5: Solve for x
    x = 107,514,337,191.36/432,272.80
  6. Step 6: Final answer
    x = 248,718.72

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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.