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Finding the Fourth Proportional to 499,545.87, 749,121.57 and 199,970.61

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Solution

The fourth proportional to 499,545.87, 749,121.57 and 199,970.61 is: 299,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,545.87 : 749,121.57 = 199,970.61 : x
  2. Step 2: Convert to fraction form
    499,545.87/749,121.57 = 199,970.61/x
  3. Step 3: Cross multiply
    499,545.87x = 749,121.57 × 199,970.61
  4. Step 4: Simplify right side
    499,545.87x = 149,802,297,317.06
  5. Step 5: Solve for x
    x = 149,802,297,317.06/499,545.87
  6. Step 6: Final answer
    x = 299,876.96

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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.