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Finding the Fourth Proportional to 279,461.26, 419,253.74 and 101,967.76

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Solution

The fourth proportional to 279,461.26, 419,253.74 and 101,967.76 is: 152,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,461.26 : 419,253.74 = 101,967.76 : x
  2. Step 2: Convert to fraction form
    279,461.26/419,253.74 = 101,967.76/x
  3. Step 3: Cross multiply
    279,461.26x = 419,253.74 × 101,967.76
  4. Step 4: Simplify right side
    279,461.26x = 42,750,364,739.42
  5. Step 5: Solve for x
    x = 42,750,364,739.42/279,461.26
  6. Step 6: Final answer
    x = 152,974.21

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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.