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Finding the Fourth Proportional to 499,545.37, 749,120.82 and 199,970.11

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Solution

The fourth proportional to 499,545.37, 749,120.82 and 199,970.11 is: 299,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,545.37 : 749,120.82 = 199,970.11 : x
  2. Step 2: Convert to fraction form
    499,545.37/749,120.82 = 199,970.11/x
  3. Step 3: Cross multiply
    499,545.37x = 749,120.82 × 199,970.11
  4. Step 4: Simplify right side
    499,545.37x = 149,801,772,778.69
  5. Step 5: Solve for x
    x = 149,801,772,778.69/499,545.37
  6. Step 6: Final answer
    x = 299,876.21

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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.