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Finding the Fourth Proportional to 561,309.40, 841,375.98 and 261,542.84

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Solution

The fourth proportional to 561,309.40, 841,375.98 and 261,542.84 is: 392,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,309.40 : 841,375.98 = 261,542.84 : x
  2. Step 2: Convert to fraction form
    561,309.40/841,375.98 = 261,542.84/x
  3. Step 3: Cross multiply
    561,309.40x = 841,375.98 × 261,542.84
  4. Step 4: Simplify right side
    561,309.40x = 220,055,863,316.98
  5. Step 5: Solve for x
    x = 220,055,863,316.98/561,309.40
  6. Step 6: Final answer
    x = 392,040.22

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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.