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Finding the Fourth Proportional to 453,906.41, 680,968.97 and 138,343.91

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Solution

The fourth proportional to 453,906.41, 680,968.97 and 138,343.91 is: 207,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,906.41 : 680,968.97 = 138,343.91 : x
  2. Step 2: Convert to fraction form
    453,906.41/680,968.97 = 138,343.91/x
  3. Step 3: Cross multiply
    453,906.41x = 680,968.97 × 138,343.91
  4. Step 4: Simplify right side
    453,906.41x = 94,207,905,801.91
  5. Step 5: Solve for x
    x = 94,207,905,801.91/453,906.41
  6. Step 6: Final answer
    x = 207,549.19

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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.