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Finding the Fourth Proportional to 391,704.50, 540,574.08 and 221,993.30

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Solution

The fourth proportional to 391,704.50, 540,574.08 and 221,993.30 is: 306,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,704.50 : 540,574.08 = 221,993.30 : x
  2. Step 2: Convert to fraction form
    391,704.50/540,574.08 = 221,993.30/x
  3. Step 3: Cross multiply
    391,704.50x = 540,574.08 × 221,993.30
  4. Step 4: Simplify right side
    391,704.50x = 120,003,823,913.66
  5. Step 5: Solve for x
    x = 120,003,823,913.66/391,704.50
  6. Step 6: Final answer
    x = 306,363.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.