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Finding the Fourth Proportional to 409,863.51, 614,836.25 and 125,550.76

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Solution

The fourth proportional to 409,863.51, 614,836.25 and 125,550.76 is: 188,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,863.51 : 614,836.25 = 125,550.76 : x
  2. Step 2: Convert to fraction form
    409,863.51/614,836.25 = 125,550.76/x
  3. Step 3: Cross multiply
    409,863.51x = 614,836.25 × 125,550.76
  4. Step 4: Simplify right side
    409,863.51x = 77,193,158,463.05
  5. Step 5: Solve for x
    x = 77,193,158,463.05/409,863.51
  6. Step 6: Final answer
    x = 188,338.69

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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.