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Finding the Fourth Proportional to 442,411.70, 663,197.11 and 282,037.54

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Solution

The fourth proportional to 442,411.70, 663,197.11 and 282,037.54 is: 422,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,411.70 : 663,197.11 = 282,037.54 : x
  2. Step 2: Convert to fraction form
    442,411.70/663,197.11 = 282,037.54/x
  3. Step 3: Cross multiply
    442,411.70x = 663,197.11 × 282,037.54
  4. Step 4: Simplify right side
    442,411.70x = 187,046,479,076.42
  5. Step 5: Solve for x
    x = 187,046,479,076.42/442,411.70
  6. Step 6: Final answer
    x = 422,788.27

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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.