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Finding the Fourth Proportional to 397,321.20, 595,981.80 and 101,833.20

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Solution

The fourth proportional to 397,321.20, 595,981.80 and 101,833.20 is: 152,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,321.20 : 595,981.80 = 101,833.20 : x
  2. Step 2: Convert to fraction form
    397,321.20/595,981.80 = 101,833.20/x
  3. Step 3: Cross multiply
    397,321.20x = 595,981.80 × 101,833.20
  4. Step 4: Simplify right side
    397,321.20x = 60,690,733,835.76
  5. Step 5: Solve for x
    x = 60,690,733,835.76/397,321.20
  6. Step 6: Final answer
    x = 152,749.80

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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.