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Finding the Fourth Proportional to 456,449.68, 684,658.12 and 140,906.59

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Solution

The fourth proportional to 456,449.68, 684,658.12 and 140,906.59 is: 211,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,449.68 : 684,658.12 = 140,906.59 : x
  2. Step 2: Convert to fraction form
    456,449.68/684,658.12 = 140,906.59/x
  3. Step 3: Cross multiply
    456,449.68x = 684,658.12 × 140,906.59
  4. Step 4: Simplify right side
    456,449.68x = 96,472,839,205.30
  5. Step 5: Solve for x
    x = 96,472,839,205.30/456,449.68
  6. Step 6: Final answer
    x = 211,354.82

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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.