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Finding the Fourth Proportional to 454,406.17, 681,610.88 and 138,861.76

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Solution

The fourth proportional to 454,406.17, 681,610.88 and 138,861.76 is: 208,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,406.17 : 681,610.88 = 138,861.76 : x
  2. Step 2: Convert to fraction form
    454,406.17/681,610.88 = 138,861.76/x
  3. Step 3: Cross multiply
    454,406.17x = 681,610.88 × 138,861.76
  4. Step 4: Simplify right side
    454,406.17x = 94,649,686,431.95
  5. Step 5: Solve for x
    x = 94,649,686,431.95/454,406.17
  6. Step 6: Final answer
    x = 208,293.14

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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.