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Finding the Fourth Proportional to 397,296.40, 595,944.60 and 147,926.80

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Solution

The fourth proportional to 397,296.40, 595,944.60 and 147,926.80 is: 221,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,296.40 : 595,944.60 = 147,926.80 : x
  2. Step 2: Convert to fraction form
    397,296.40/595,944.60 = 147,926.80/x
  3. Step 3: Cross multiply
    397,296.40x = 595,944.60 × 147,926.80
  4. Step 4: Simplify right side
    397,296.40x = 88,156,177,655.28
  5. Step 5: Solve for x
    x = 88,156,177,655.28/397,296.40
  6. Step 6: Final answer
    x = 221,890.20

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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.