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Finding the Fourth Proportional to 198,326.76, 273,459.78 and 147,938.28

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Solution

The fourth proportional to 198,326.76, 273,459.78 and 147,938.28 is: 203,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,326.76 : 273,459.78 = 147,938.28 : x
  2. Step 2: Convert to fraction form
    198,326.76/273,459.78 = 147,938.28/x
  3. Step 3: Cross multiply
    198,326.76x = 273,459.78 × 147,938.28
  4. Step 4: Simplify right side
    198,326.76x = 40,455,169,502.38
  5. Step 5: Solve for x
    x = 40,455,169,502.38/198,326.76
  6. Step 6: Final answer
    x = 203,982.41

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1.5x scale

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.