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Finding the Fourth Proportional to 297,146.40, 445,720.56 and 75,530.40

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Solution

The fourth proportional to 297,146.40, 445,720.56 and 75,530.40 is: 113,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,146.40 : 445,720.56 = 75,530.40 : x
  2. Step 2: Convert to fraction form
    297,146.40/445,720.56 = 75,530.40/x
  3. Step 3: Cross multiply
    297,146.40x = 445,720.56 × 75,530.40
  4. Step 4: Simplify right side
    297,146.40x = 33,665,452,185.02
  5. Step 5: Solve for x
    x = 33,665,452,185.02/297,146.40
  6. Step 6: Final answer
    x = 113,295.84

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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.