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Finding the Fourth Proportional to 427,542.72, 590,276.64 and 274,642.56

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Solution

The fourth proportional to 427,542.72, 590,276.64 and 274,642.56 is: 379,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,542.72 : 590,276.64 = 274,642.56 : x
  2. Step 2: Convert to fraction form
    427,542.72/590,276.64 = 274,642.56/x
  3. Step 3: Cross multiply
    427,542.72x = 590,276.64 × 274,642.56
  4. Step 4: Simplify right side
    427,542.72x = 162,115,087,517.80
  5. Step 5: Solve for x
    x = 162,115,087,517.80/427,542.72
  6. Step 6: Final answer
    x = 379,178.69

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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.