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Finding the Fourth Proportional to 342,158.96, 512,976.80 and 207,193.66

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Solution

The fourth proportional to 342,158.96, 512,976.80 and 207,193.66 is: 310,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,158.96 : 512,976.80 = 207,193.66 : x
  2. Step 2: Convert to fraction form
    342,158.96/512,976.80 = 207,193.66/x
  3. Step 3: Cross multiply
    342,158.96x = 512,976.80 × 207,193.66
  4. Step 4: Simplify right side
    342,158.96x = 106,285,540,687.09
  5. Step 5: Solve for x
    x = 106,285,540,687.09/342,158.96
  6. Step 6: Final answer
    x = 310,632.05

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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.