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Finding the Fourth Proportional to 456,400, 684,691.20 and 140,845.04

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Solution

The fourth proportional to 456,400, 684,691.20 and 140,845.04 is: 211,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,400 : 684,691.20 = 140,845.04 : x
  2. Step 2: Convert to fraction form
    456,400/684,691.20 = 140,845.04/x
  3. Step 3: Cross multiply
    456,400x = 684,691.20 × 140,845.04
  4. Step 4: Simplify right side
    456,400x = 96,435,359,451.65
  5. Step 5: Solve for x
    x = 96,435,359,451.65/456,400
  6. Step 6: Final answer
    x = 211,295.70

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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.