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Finding the Fourth Proportional to 431,653, 647,538.59 and 147,267.20

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Solution

The fourth proportional to 431,653, 647,538.59 and 147,267.20 is: 220,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,653 : 647,538.59 = 147,267.20 : x
  2. Step 2: Convert to fraction form
    431,653/647,538.59 = 147,267.20/x
  3. Step 3: Cross multiply
    431,653x = 647,538.59 × 147,267.20
  4. Step 4: Simplify right side
    431,653x = 95,361,195,041.25
  5. Step 5: Solve for x
    x = 95,361,195,041.25/431,653
  6. Step 6: Final answer
    x = 220,920.96

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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.