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Finding the Fourth Proportional to 499,257.60, 749,145.60 and 218,803.20

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Solution

The fourth proportional to 499,257.60, 749,145.60 and 218,803.20 is: 328,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,257.60 : 749,145.60 = 218,803.20 : x
  2. Step 2: Convert to fraction form
    499,257.60/749,145.60 = 218,803.20/x
  3. Step 3: Cross multiply
    499,257.60x = 749,145.60 × 218,803.20
  4. Step 4: Simplify right side
    499,257.60x = 163,915,454,545.92
  5. Step 5: Solve for x
    x = 163,915,454,545.92/499,257.60
  6. Step 6: Final answer
    x = 328,318.40

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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.