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Finding the Fourth Proportional to 410,671.01, 614,715.98 and 261,080.21

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Solution

The fourth proportional to 410,671.01, 614,715.98 and 261,080.21 is: 390,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,671.01 : 614,715.98 = 261,080.21 : x
  2. Step 2: Convert to fraction form
    410,671.01/614,715.98 = 261,080.21/x
  3. Step 3: Cross multiply
    410,671.01x = 614,715.98 × 261,080.21
  4. Step 4: Simplify right side
    410,671.01x = 160,490,172,769.78
  5. Step 5: Solve for x
    x = 160,490,172,769.78/410,671.01
  6. Step 6: Final answer
    x = 390,799.86

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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.