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Finding the Fourth Proportional to 382,111.49, 572,945.84 and 157,217.88

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Solution

The fourth proportional to 382,111.49, 572,945.84 and 157,217.88 is: 235,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111.49 : 572,945.84 = 157,217.88 : x
  2. Step 2: Convert to fraction form
    382,111.49/572,945.84 = 157,217.88/x
  3. Step 3: Cross multiply
    382,111.49x = 572,945.84 × 157,217.88
  4. Step 4: Simplify right side
    382,111.49x = 90,077,330,712.66
  5. Step 5: Solve for x
    x = 90,077,330,712.66/382,111.49
  6. Step 6: Final answer
    x = 235,735.73

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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.