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Finding the Fourth Proportional to 298,593.45, 447,447.13 and 219,320.17

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Solution

The fourth proportional to 298,593.45, 447,447.13 and 219,320.17 is: 328,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,593.45 : 447,447.13 = 219,320.17 : x
  2. Step 2: Convert to fraction form
    298,593.45/447,447.13 = 219,320.17/x
  3. Step 3: Cross multiply
    298,593.45x = 447,447.13 × 219,320.17
  4. Step 4: Simplify right side
    298,593.45x = 98,134,180,617.61
  5. Step 5: Solve for x
    x = 98,134,180,617.61/298,593.45
  6. Step 6: Final answer
    x = 328,654.83

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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.