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Finding the Fourth Proportional to 305,449.32, 457,989.84 and 136,939.18

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Solution

The fourth proportional to 305,449.32, 457,989.84 and 136,939.18 is: 205,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,449.32 : 457,989.84 = 136,939.18 : x
  2. Step 2: Convert to fraction form
    305,449.32/457,989.84 = 136,939.18/x
  3. Step 3: Cross multiply
    305,449.32x = 457,989.84 × 136,939.18
  4. Step 4: Simplify right side
    305,449.32x = 62,716,753,137.93
  5. Step 5: Solve for x
    x = 62,716,753,137.93/305,449.32
  6. Step 6: Final answer
    x = 205,326.22

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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.