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Finding the Fourth Proportional to 499,587.20, 749,380.80 and 289,764.80

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Solution

The fourth proportional to 499,587.20, 749,380.80 and 289,764.80 is: 434,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,587.20 : 749,380.80 = 289,764.80 : x
  2. Step 2: Convert to fraction form
    499,587.20/749,380.80 = 289,764.80/x
  3. Step 3: Cross multiply
    499,587.20x = 749,380.80 × 289,764.80
  4. Step 4: Simplify right side
    499,587.20x = 217,144,177,635.84
  5. Step 5: Solve for x
    x = 217,144,177,635.84/499,587.20
  6. Step 6: Final answer
    x = 434,647.20

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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.