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Finding the Fourth Proportional to 431,934.96, 647,897.76 and 147,622.80

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Solution

The fourth proportional to 431,934.96, 647,897.76 and 147,622.80 is: 221,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,934.96 : 647,897.76 = 147,622.80 : x
  2. Step 2: Convert to fraction form
    431,934.96/647,897.76 = 147,622.80/x
  3. Step 3: Cross multiply
    431,934.96x = 647,897.76 × 147,622.80
  4. Step 4: Simplify right side
    431,934.96x = 95,644,481,444.93
  5. Step 5: Solve for x
    x = 95,644,481,444.93/431,934.96
  6. Step 6: Final answer
    x = 221,432.60

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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.