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Finding the Fourth Proportional to 208,406.74, 312,610.11 and 138,422.74

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Solution

The fourth proportional to 208,406.74, 312,610.11 and 138,422.74 is: 207,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,406.74 : 312,610.11 = 138,422.74 : x
  2. Step 2: Convert to fraction form
    208,406.74/312,610.11 = 138,422.74/x
  3. Step 3: Cross multiply
    208,406.74x = 312,610.11 × 138,422.74
  4. Step 4: Simplify right side
    208,406.74x = 43,272,347,977.90
  5. Step 5: Solve for x
    x = 43,272,347,977.90/208,406.74
  6. Step 6: Final answer
    x = 207,634.11

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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.