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Finding the Fourth Proportional to 453,689.71, 680,635.81 and 138,170.95

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Solution

The fourth proportional to 453,689.71, 680,635.81 and 138,170.95 is: 207,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,689.71 : 680,635.81 = 138,170.95 : x
  2. Step 2: Convert to fraction form
    453,689.71/680,635.81 = 138,170.95/x
  3. Step 3: Cross multiply
    453,689.71x = 680,635.81 × 138,170.95
  4. Step 4: Simplify right side
    453,689.71x = 94,044,094,942.84
  5. Step 5: Solve for x
    x = 94,044,094,942.84/453,689.71
  6. Step 6: Final answer
    x = 207,287.26

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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.