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Finding the Fourth Proportional to 332,981, 499,471.98 and 135,989

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Solution

The fourth proportional to 332,981, 499,471.98 and 135,989 is: 203,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,981 : 499,471.98 = 135,989 : x
  2. Step 2: Convert to fraction form
    332,981/499,471.98 = 135,989/x
  3. Step 3: Cross multiply
    332,981x = 499,471.98 × 135,989
  4. Step 4: Simplify right side
    332,981x = 67,922,695,088.22
  5. Step 5: Solve for x
    x = 67,922,695,088.22/332,981
  6. Step 6: Final answer
    x = 203,983.70

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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.