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Finding the Fourth Proportional to 381,697.20, 572,545.80 and 343,643.40

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Solution

The fourth proportional to 381,697.20, 572,545.80 and 343,643.40 is: 515,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,697.20 : 572,545.80 = 343,643.40 : x
  2. Step 2: Convert to fraction form
    381,697.20/572,545.80 = 343,643.40/x
  3. Step 3: Cross multiply
    381,697.20x = 572,545.80 × 343,643.40
  4. Step 4: Simplify right side
    381,697.20x = 196,751,585,367.72
  5. Step 5: Solve for x
    x = 196,751,585,367.72/381,697.20
  6. Step 6: Final answer
    x = 515,465.10

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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.