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Finding the Fourth Proportional to 230,605.20, 343,615.32 and 205,452

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Solution

The fourth proportional to 230,605.20, 343,615.32 and 205,452 is: 306,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,605.20 : 343,615.32 = 205,452 : x
  2. Step 2: Convert to fraction form
    230,605.20/343,615.32 = 205,452/x
  3. Step 3: Cross multiply
    230,605.20x = 343,615.32 × 205,452
  4. Step 4: Simplify right side
    230,605.20x = 70,596,454,724.64
  5. Step 5: Solve for x
    x = 70,596,454,724.64/230,605.20
  6. Step 6: Final answer
    x = 306,135.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.