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Finding the Fourth Proportional to 305,422.80, 457,842.60 and 237,917.40

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Solution

The fourth proportional to 305,422.80, 457,842.60 and 237,917.40 is: 356,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,422.80 : 457,842.60 = 237,917.40 : x
  2. Step 2: Convert to fraction form
    305,422.80/457,842.60 = 237,917.40/x
  3. Step 3: Cross multiply
    305,422.80x = 457,842.60 × 237,917.40
  4. Step 4: Simplify right side
    305,422.80x = 108,928,721,001.24
  5. Step 5: Solve for x
    x = 108,928,721,001.24/305,422.80
  6. Step 6: Final answer
    x = 356,648.95

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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.