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Finding the Fourth Proportional to 644,037.92, 966,231.84 and 458,230.40

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Solution

The fourth proportional to 644,037.92, 966,231.84 and 458,230.40 is: 687,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,037.92 : 966,231.84 = 458,230.40 : x
  2. Step 2: Convert to fraction form
    644,037.92/966,231.84 = 458,230.40/x
  3. Step 3: Cross multiply
    644,037.92x = 966,231.84 × 458,230.40
  4. Step 4: Simplify right side
    644,037.92x = 442,756,802,535.94
  5. Step 5: Solve for x
    x = 442,756,802,535.94/644,037.92
  6. Step 6: Final answer
    x = 687,470.08

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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.