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Finding the Fourth Proportional to 456,524.80, 684,787.20 and 156,978.70

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Solution

The fourth proportional to 456,524.80, 684,787.20 and 156,978.70 is: 235,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,524.80 : 684,787.20 = 156,978.70 : x
  2. Step 2: Convert to fraction form
    456,524.80/684,787.20 = 156,978.70/x
  3. Step 3: Cross multiply
    456,524.80x = 684,787.20 × 156,978.70
  4. Step 4: Simplify right side
    456,524.80x = 107,497,004,432.64
  5. Step 5: Solve for x
    x = 107,497,004,432.64/456,524.80
  6. Step 6: Final answer
    x = 235,468.05

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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.