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Finding the Fourth Proportional to 381,149.64, 525,555.72 and 243,144.48

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Solution

The fourth proportional to 381,149.64, 525,555.72 and 243,144.48 is: 335,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,149.64 : 525,555.72 = 243,144.48 : x
  2. Step 2: Convert to fraction form
    381,149.64/525,555.72 = 243,144.48/x
  3. Step 3: Cross multiply
    381,149.64x = 525,555.72 × 243,144.48
  4. Step 4: Simplify right side
    381,149.64x = 127,785,972,250.43
  5. Step 5: Solve for x
    x = 127,785,972,250.43/381,149.64
  6. Step 6: Final answer
    x = 335,264.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.