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Finding the Fourth Proportional to 291,309.86, 402,131.87 and 195,871.88

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Solution

The fourth proportional to 291,309.86, 402,131.87 and 195,871.88 is: 270,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,309.86 : 402,131.87 = 195,871.88 : x
  2. Step 2: Convert to fraction form
    291,309.86/402,131.87 = 195,871.88/x
  3. Step 3: Cross multiply
    291,309.86x = 402,131.87 × 195,871.88
  4. Step 4: Simplify right side
    291,309.86x = 78,766,322,394.80
  5. Step 5: Solve for x
    x = 78,766,322,394.80/291,309.86
  6. Step 6: Final answer
    x = 270,386.74

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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.