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Finding the Fourth Proportional to 198,729.90, 278,921.70 and 198,729.90

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Solution

The fourth proportional to 198,729.90, 278,921.70 and 198,729.90 is: 278,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,729.90 : 278,921.70 = 198,729.90 : x
  2. Step 2: Convert to fraction form
    198,729.90/278,921.70 = 198,729.90/x
  3. Step 3: Cross multiply
    198,729.90x = 278,921.70 × 198,729.90
  4. Step 4: Simplify right side
    198,729.90x = 55,430,081,548.83
  5. Step 5: Solve for x
    x = 55,430,081,548.83/198,729.90
  6. Step 6: Final answer
    x = 278,921.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.