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Finding the Fourth Proportional to 305,449.70, 457,990.40 and 136,939.55

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Solution

The fourth proportional to 305,449.70, 457,990.40 and 136,939.55 is: 205,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,449.70 : 457,990.40 = 136,939.55 : x
  2. Step 2: Convert to fraction form
    305,449.70/457,990.40 = 136,939.55/x
  3. Step 3: Cross multiply
    305,449.70x = 457,990.40 × 136,939.55
  4. Step 4: Simplify right side
    305,449.70x = 62,716,997,332.72
  5. Step 5: Solve for x
    x = 62,716,997,332.72/305,449.70
  6. Step 6: Final answer
    x = 205,326.76

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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.