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Finding the Fourth Proportional to 305,299.80, 458,046.72 and 136,964.88

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Solution

The fourth proportional to 305,299.80, 458,046.72 and 136,964.88 is: 205,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,299.80 : 458,046.72 = 136,964.88 : x
  2. Step 2: Convert to fraction form
    305,299.80/458,046.72 = 136,964.88/x
  3. Step 3: Cross multiply
    305,299.80x = 458,046.72 × 136,964.88
  4. Step 4: Simplify right side
    305,299.80x = 62,736,314,039.19
  5. Step 5: Solve for x
    x = 62,736,314,039.19/305,299.80
  6. Step 6: Final answer
    x = 205,490.85

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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.