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Finding the Fourth Proportional to 331,311.60, 497,113.20 and 153,727.20

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Solution

The fourth proportional to 331,311.60, 497,113.20 and 153,727.20 is: 230,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,311.60 : 497,113.20 = 153,727.20 : x
  2. Step 2: Convert to fraction form
    331,311.60/497,113.20 = 153,727.20/x
  3. Step 3: Cross multiply
    331,311.60x = 497,113.20 × 153,727.20
  4. Step 4: Simplify right side
    331,311.60x = 76,419,820,319.04
  5. Step 5: Solve for x
    x = 76,419,820,319.04/331,311.60
  6. Step 6: Final answer
    x = 230,658.45

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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.