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Finding the Fourth Proportional to 428,099.52, 639,545.76 and 277,109.76

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Solution

The fourth proportional to 428,099.52, 639,545.76 and 277,109.76 is: 413,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,099.52 : 639,545.76 = 277,109.76 : x
  2. Step 2: Convert to fraction form
    428,099.52/639,545.76 = 277,109.76/x
  3. Step 3: Cross multiply
    428,099.52x = 639,545.76 × 277,109.76
  4. Step 4: Simplify right side
    428,099.52x = 177,224,372,062.62
  5. Step 5: Solve for x
    x = 177,224,372,062.62/428,099.52
  6. Step 6: Final answer
    x = 413,979.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.