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Finding the Fourth Proportional to 305,126.70, 457,854.08 and 127,651.65

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Solution

The fourth proportional to 305,126.70, 457,854.08 and 127,651.65 is: 191,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,126.70 : 457,854.08 = 127,651.65 : x
  2. Step 2: Convert to fraction form
    305,126.70/457,854.08 = 127,651.65/x
  3. Step 3: Cross multiply
    305,126.70x = 457,854.08 × 127,651.65
  4. Step 4: Simplify right side
    305,126.70x = 58,445,828,132.97
  5. Step 5: Solve for x
    x = 58,445,828,132.97/305,126.70
  6. Step 6: Final answer
    x = 191,546.10

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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.