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Finding the Fourth Proportional to 427,849.52, 641,765.64 and 147,360.56

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Solution

The fourth proportional to 427,849.52, 641,765.64 and 147,360.56 is: 221,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,849.52 : 641,765.64 = 147,360.56 : x
  2. Step 2: Convert to fraction form
    427,849.52/641,765.64 = 147,360.56/x
  3. Step 3: Cross multiply
    427,849.52x = 641,765.64 × 147,360.56
  4. Step 4: Simplify right side
    427,849.52x = 94,570,944,099.16
  5. Step 5: Solve for x
    x = 94,570,944,099.16/427,849.52
  6. Step 6: Final answer
    x = 221,037.86

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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.