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Finding the Fourth Proportional to 381,728.70, 526,833.99 and 230,908.86

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Solution

The fourth proportional to 381,728.70, 526,833.99 and 230,908.86 is: 318,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,728.70 : 526,833.99 = 230,908.86 : x
  2. Step 2: Convert to fraction form
    381,728.70/526,833.99 = 230,908.86/x
  3. Step 3: Cross multiply
    381,728.70x = 526,833.99 × 230,908.86
  4. Step 4: Simplify right side
    381,728.70x = 121,650,636,040.15
  5. Step 5: Solve for x
    x = 121,650,636,040.15/381,728.70
  6. Step 6: Final answer
    x = 318,683.49

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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.