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Finding the Fourth Proportional to 318,253.78, 477,345 and 81,602.02

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Solution

The fourth proportional to 318,253.78, 477,345 and 81,602.02 is: 122,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,253.78 : 477,345 = 81,602.02 : x
  2. Step 2: Convert to fraction form
    318,253.78/477,345 = 81,602.02/x
  3. Step 3: Cross multiply
    318,253.78x = 477,345 × 81,602.02
  4. Step 4: Simplify right side
    318,253.78x = 38,952,316,236.90
  5. Step 5: Solve for x
    x = 38,952,316,236.90/318,253.78
  6. Step 6: Final answer
    x = 122,393.88

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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.