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Finding the Fourth Proportional to 410,672.01, 614,717.47 and 261,081.21

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Solution

The fourth proportional to 410,672.01, 614,717.47 and 261,081.21 is: 390,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,672.01 : 614,717.47 = 261,081.21 : x
  2. Step 2: Convert to fraction form
    410,672.01/614,717.47 = 261,081.21/x
  3. Step 3: Cross multiply
    410,672.01x = 614,717.47 × 261,081.21
  4. Step 4: Simplify right side
    410,672.01x = 160,491,180,875.74
  5. Step 5: Solve for x
    x = 160,491,180,875.74/410,672.01
  6. Step 6: Final answer
    x = 390,801.36

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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.