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Finding the Fourth Proportional to 307,524.95, 461,123.40 and 129,831.20

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Solution

The fourth proportional to 307,524.95, 461,123.40 and 129,831.20 is: 194,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,524.95 : 461,123.40 = 129,831.20 : x
  2. Step 2: Convert to fraction form
    307,524.95/461,123.40 = 129,831.20/x
  3. Step 3: Cross multiply
    307,524.95x = 461,123.40 × 129,831.20
  4. Step 4: Simplify right side
    307,524.95x = 59,868,204,370.08
  5. Step 5: Solve for x
    x = 59,868,204,370.08/307,524.95
  6. Step 6: Final answer
    x = 194,677.55

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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.