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Finding the Fourth Proportional to 305,065.92, 457,385.40 and 219,731.88

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Solution

The fourth proportional to 305,065.92, 457,385.40 and 219,731.88 is: 329,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,065.92 : 457,385.40 = 219,731.88 : x
  2. Step 2: Convert to fraction form
    305,065.92/457,385.40 = 219,731.88/x
  3. Step 3: Cross multiply
    305,065.92x = 457,385.40 × 219,731.88
  4. Step 4: Simplify right side
    305,065.92x = 100,502,153,826.55
  5. Step 5: Solve for x
    x = 100,502,153,826.55/305,065.92
  6. Step 6: Final answer
    x = 329,444.06

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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.