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Finding the Fourth Proportional to 402,515.20, 603,772.80 and 302,131.90

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Solution

The fourth proportional to 402,515.20, 603,772.80 and 302,131.90 is: 453,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,515.20 : 603,772.80 = 302,131.90 : x
  2. Step 2: Convert to fraction form
    402,515.20/603,772.80 = 302,131.90/x
  3. Step 3: Cross multiply
    402,515.20x = 603,772.80 × 302,131.90
  4. Step 4: Simplify right side
    402,515.20x = 182,419,023,232.32
  5. Step 5: Solve for x
    x = 182,419,023,232.32/402,515.20
  6. Step 6: Final answer
    x = 453,197.85

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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.