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Finding the Fourth Proportional to 402,438.20, 603,675.68 and 284,635.44

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Solution

The fourth proportional to 402,438.20, 603,675.68 and 284,635.44 is: 426,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,438.20 : 603,675.68 = 284,635.44 : x
  2. Step 2: Convert to fraction form
    402,438.20/603,675.68 = 284,635.44/x
  3. Step 3: Cross multiply
    402,438.20x = 603,675.68 × 284,635.44
  4. Step 4: Simplify right side
    402,438.20x = 171,827,491,370.92
  5. Step 5: Solve for x
    x = 171,827,491,370.92/402,438.20
  6. Step 6: Final answer
    x = 426,966.16

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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.