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Finding the Fourth Proportional to 383,581.80, 574,886.70 and 146,608.20

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Solution

The fourth proportional to 383,581.80, 574,886.70 and 146,608.20 is: 219,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,581.80 : 574,886.70 = 146,608.20 : x
  2. Step 2: Convert to fraction form
    383,581.80/574,886.70 = 146,608.20/x
  3. Step 3: Cross multiply
    383,581.80x = 574,886.70 × 146,608.20
  4. Step 4: Simplify right side
    383,581.80x = 84,283,104,290.94
  5. Step 5: Solve for x
    x = 84,283,104,290.94/383,581.80
  6. Step 6: Final answer
    x = 219,726.55

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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.