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Finding the Fourth Proportional to 402,487.02, 603,856.98 and 165,941.10

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Solution

The fourth proportional to 402,487.02, 603,856.98 and 165,941.10 is: 248,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,487.02 : 603,856.98 = 165,941.10 : x
  2. Step 2: Convert to fraction form
    402,487.02/603,856.98 = 165,941.10/x
  3. Step 3: Cross multiply
    402,487.02x = 603,856.98 × 165,941.10
  4. Step 4: Simplify right side
    402,487.02x = 100,204,691,503.88
  5. Step 5: Solve for x
    x = 100,204,691,503.88/402,487.02
  6. Step 6: Final answer
    x = 248,963.78

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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.