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Finding the Fourth Proportional to 616,251.77, 923,765.28 and 428,869.61

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Solution

The fourth proportional to 616,251.77, 923,765.28 and 428,869.61 is: 642,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,251.77 : 923,765.28 = 428,869.61 : x
  2. Step 2: Convert to fraction form
    616,251.77/923,765.28 = 428,869.61/x
  3. Step 3: Cross multiply
    616,251.77x = 923,765.28 × 428,869.61
  4. Step 4: Simplify right side
    616,251.77x = 396,174,850,746.31
  5. Step 5: Solve for x
    x = 396,174,850,746.31/616,251.77
  6. Step 6: Final answer
    x = 642,878.24

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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.