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Finding the Fourth Proportional to 461,102.40, 691,595.28 and 145,591.20

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Solution

The fourth proportional to 461,102.40, 691,595.28 and 145,591.20 is: 218,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,102.40 : 691,595.28 = 145,591.20 : x
  2. Step 2: Convert to fraction form
    461,102.40/691,595.28 = 145,591.20/x
  3. Step 3: Cross multiply
    461,102.40x = 691,595.28 × 145,591.20
  4. Step 4: Simplify right side
    461,102.40x = 100,690,186,729.54
  5. Step 5: Solve for x
    x = 100,690,186,729.54/461,102.40
  6. Step 6: Final answer
    x = 218,368.39

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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.