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Finding the Fourth Proportional to 382,891.32, 574,336.80 and 146,257.92

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Solution

The fourth proportional to 382,891.32, 574,336.80 and 146,257.92 is: 219,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,891.32 : 574,336.80 = 146,257.92 : x
  2. Step 2: Convert to fraction form
    382,891.32/574,336.80 = 146,257.92/x
  3. Step 3: Cross multiply
    382,891.32x = 574,336.80 × 146,257.92
  4. Step 4: Simplify right side
    382,891.32x = 84,001,305,747.46
  5. Step 5: Solve for x
    x = 84,001,305,747.46/382,891.32
  6. Step 6: Final answer
    x = 219,386.81

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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.