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Finding the Fourth Proportional to 230,078.20, 345,117.30 and 220,041.40

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Solution

The fourth proportional to 230,078.20, 345,117.30 and 220,041.40 is: 330,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,078.20 : 345,117.30 = 220,041.40 : x
  2. Step 2: Convert to fraction form
    230,078.20/345,117.30 = 220,041.40/x
  3. Step 3: Cross multiply
    230,078.20x = 345,117.30 × 220,041.40
  4. Step 4: Simplify right side
    230,078.20x = 75,940,093,856.22
  5. Step 5: Solve for x
    x = 75,940,093,856.22/230,078.20
  6. Step 6: Final answer
    x = 330,062.10

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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.