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Finding the Fourth Proportional to 296,819.40, 445,520.70 and 147,228.60

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Solution

The fourth proportional to 296,819.40, 445,520.70 and 147,228.60 is: 220,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,819.40 : 445,520.70 = 147,228.60 : x
  2. Step 2: Convert to fraction form
    296,819.40/445,520.70 = 147,228.60/x
  3. Step 3: Cross multiply
    296,819.40x = 445,520.70 × 147,228.60
  4. Step 4: Simplify right side
    296,819.40x = 65,593,388,932.02
  5. Step 5: Solve for x
    x = 65,593,388,932.02/296,819.40
  6. Step 6: Final answer
    x = 220,987.54

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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.