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Finding the Fourth Proportional to 453,984.41, 680,974.80 and 138,440.41

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Solution

The fourth proportional to 453,984.41, 680,974.80 and 138,440.41 is: 207,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,984.41 : 680,974.80 = 138,440.41 : x
  2. Step 2: Convert to fraction form
    453,984.41/680,974.80 = 138,440.41/x
  3. Step 3: Cross multiply
    453,984.41x = 680,974.80 × 138,440.41
  4. Step 4: Simplify right side
    453,984.41x = 94,274,428,290.08
  5. Step 5: Solve for x
    x = 94,274,428,290.08/453,984.41
  6. Step 6: Final answer
    x = 207,660.06

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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.