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Finding the Fourth Proportional to 454,273.40, 681,410.10 and 138,729.80

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Solution

The fourth proportional to 454,273.40, 681,410.10 and 138,729.80 is: 208,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,273.40 : 681,410.10 = 138,729.80 : x
  2. Step 2: Convert to fraction form
    454,273.40/681,410.10 = 138,729.80/x
  3. Step 3: Cross multiply
    454,273.40x = 681,410.10 × 138,729.80
  4. Step 4: Simplify right side
    454,273.40x = 94,531,886,890.98
  5. Step 5: Solve for x
    x = 94,531,886,890.98/454,273.40
  6. Step 6: Final answer
    x = 208,094.70

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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.