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Finding the Fourth Proportional to 499,073.67, 747,902.84 and 386,228.59

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Solution

The fourth proportional to 499,073.67, 747,902.84 and 386,228.59 is: 578,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,073.67 : 747,902.84 = 386,228.59 : x
  2. Step 2: Convert to fraction form
    499,073.67/747,902.84 = 386,228.59/x
  3. Step 3: Cross multiply
    499,073.67x = 747,902.84 × 386,228.59
  4. Step 4: Simplify right side
    499,073.67x = 288,861,455,549.30
  5. Step 5: Solve for x
    x = 288,861,455,549.30/499,073.67
  6. Step 6: Final answer
    x = 578,795.22

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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.