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Finding the Fourth Proportional to 198,454, 273,883.80 and 109,047.28

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Solution

The fourth proportional to 198,454, 273,883.80 and 109,047.28 is: 150,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,454 : 273,883.80 = 109,047.28 : x
  2. Step 2: Convert to fraction form
    198,454/273,883.80 = 109,047.28/x
  3. Step 3: Cross multiply
    198,454x = 273,883.80 × 109,047.28
  4. Step 4: Simplify right side
    198,454x = 29,866,283,426.06
  5. Step 5: Solve for x
    x = 29,866,283,426.06/198,454
  6. Step 6: Final answer
    x = 150,494.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.