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Finding the Fourth Proportional to 393,600.66, 543,129.57 and 230,233.14

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Solution

The fourth proportional to 393,600.66, 543,129.57 and 230,233.14 is: 317,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,600.66 : 543,129.57 = 230,233.14 : x
  2. Step 2: Convert to fraction form
    393,600.66/543,129.57 = 230,233.14/x
  3. Step 3: Cross multiply
    393,600.66x = 543,129.57 × 230,233.14
  4. Step 4: Simplify right side
    393,600.66x = 125,046,426,327.95
  5. Step 5: Solve for x
    x = 125,046,426,327.95/393,600.66
  6. Step 6: Final answer
    x = 317,698.72

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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.