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Finding the Fourth Proportional to 472,493.80, 708,287.10 and 156,788.20

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Solution

The fourth proportional to 472,493.80, 708,287.10 and 156,788.20 is: 235,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,493.80 : 708,287.10 = 156,788.20 : x
  2. Step 2: Convert to fraction form
    472,493.80/708,287.10 = 156,788.20/x
  3. Step 3: Cross multiply
    472,493.80x = 708,287.10 × 156,788.20
  4. Step 4: Simplify right side
    472,493.80x = 111,051,059,492.22
  5. Step 5: Solve for x
    x = 111,051,059,492.22/472,493.80
  6. Step 6: Final answer
    x = 235,031.78

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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.