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Finding the Fourth Proportional to 499,376.80, 749,065.20 and 219,440.80

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Solution

The fourth proportional to 499,376.80, 749,065.20 and 219,440.80 is: 329,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,376.80 : 749,065.20 = 219,440.80 : x
  2. Step 2: Convert to fraction form
    499,376.80/749,065.20 = 219,440.80/x
  3. Step 3: Cross multiply
    499,376.80x = 749,065.20 × 219,440.80
  4. Step 4: Simplify right side
    499,376.80x = 164,375,466,740.16
  5. Step 5: Solve for x
    x = 164,375,466,740.16/499,376.80
  6. Step 6: Final answer
    x = 329,161.20

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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.