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Finding the Fourth Proportional to 617,403.80, 925,145.62 and 428,233.76

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Solution

The fourth proportional to 617,403.80, 925,145.62 and 428,233.76 is: 641,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,403.80 : 925,145.62 = 428,233.76 : x
  2. Step 2: Convert to fraction form
    617,403.80/925,145.62 = 428,233.76/x
  3. Step 3: Cross multiply
    617,403.80x = 925,145.62 × 428,233.76
  4. Step 4: Simplify right side
    617,403.80x = 396,178,592,785.87
  5. Step 5: Solve for x
    x = 396,178,592,785.87/617,403.80
  6. Step 6: Final answer
    x = 641,684.74

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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.