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Finding the Fourth Proportional to 453,661.20, 680,491.80 and 138,077.10

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Solution

The fourth proportional to 453,661.20, 680,491.80 and 138,077.10 is: 207,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,661.20 : 680,491.80 = 138,077.10 : x
  2. Step 2: Convert to fraction form
    453,661.20/680,491.80 = 138,077.10/x
  3. Step 3: Cross multiply
    453,661.20x = 680,491.80 × 138,077.10
  4. Step 4: Simplify right side
    453,661.20x = 93,960,334,317.78
  5. Step 5: Solve for x
    x = 93,960,334,317.78/453,661.20
  6. Step 6: Final answer
    x = 207,115.65

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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.