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Finding the Fourth Proportional to 315,423.20, 471,982.80 and 232,479.20

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Solution

The fourth proportional to 315,423.20, 471,982.80 and 232,479.20 is: 347,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,423.20 : 471,982.80 = 232,479.20 : x
  2. Step 2: Convert to fraction form
    315,423.20/471,982.80 = 232,479.20/x
  3. Step 3: Cross multiply
    315,423.20x = 471,982.80 × 232,479.20
  4. Step 4: Simplify right side
    315,423.20x = 109,726,183,757.76
  5. Step 5: Solve for x
    x = 109,726,183,757.76/315,423.20
  6. Step 6: Final answer
    x = 347,869.73

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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.