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Finding the Fourth Proportional to 453,690.09, 680,638.41 and 138,171.60

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Solution

The fourth proportional to 453,690.09, 680,638.41 and 138,171.60 is: 207,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,690.09 : 680,638.41 = 138,171.60 : x
  2. Step 2: Convert to fraction form
    453,690.09/680,638.41 = 138,171.60/x
  3. Step 3: Cross multiply
    453,690.09x = 680,638.41 × 138,171.60
  4. Step 4: Simplify right side
    453,690.09x = 94,044,898,131.16
  5. Step 5: Solve for x
    x = 94,044,898,131.16/453,690.09
  6. Step 6: Final answer
    x = 207,288.85

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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.