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Finding the Fourth Proportional to 453,696.18, 680,645.97 and 138,177.78

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Solution

The fourth proportional to 453,696.18, 680,645.97 and 138,177.78 is: 207,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,696.18 : 680,645.97 = 138,177.78 : x
  2. Step 2: Convert to fraction form
    453,696.18/680,645.97 = 138,177.78/x
  3. Step 3: Cross multiply
    453,696.18x = 680,645.97 × 138,177.78
  4. Step 4: Simplify right side
    453,696.18x = 94,050,149,100.55
  5. Step 5: Solve for x
    x = 94,050,149,100.55/453,696.18
  6. Step 6: Final answer
    x = 207,297.64

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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.