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Finding the Fourth Proportional to 428,256.50, 642,385.20 and 128,737.04

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Solution

The fourth proportional to 428,256.50, 642,385.20 and 128,737.04 is: 193,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,256.50 : 642,385.20 = 128,737.04 : x
  2. Step 2: Convert to fraction form
    428,256.50/642,385.20 = 128,737.04/x
  3. Step 3: Cross multiply
    428,256.50x = 642,385.20 × 128,737.04
  4. Step 4: Simplify right side
    428,256.50x = 82,698,769,187.81
  5. Step 5: Solve for x
    x = 82,698,769,187.81/428,256.50
  6. Step 6: Final answer
    x = 193,105.70

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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.