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Finding the Fourth Proportional to 383,781.28, 575,673 and 147,196.48

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Solution

The fourth proportional to 383,781.28, 575,673 and 147,196.48 is: 220,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,781.28 : 575,673 = 147,196.48 : x
  2. Step 2: Convert to fraction form
    383,781.28/575,673 = 147,196.48/x
  3. Step 3: Cross multiply
    383,781.28x = 575,673 × 147,196.48
  4. Step 4: Simplify right side
    383,781.28x = 84,737,039,231.04
  5. Step 5: Solve for x
    x = 84,737,039,231.04/383,781.28
  6. Step 6: Final answer
    x = 220,795.13

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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.