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Finding the Fourth Proportional to 381,120.86, 525,943.19 and 209,035.31

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Solution

The fourth proportional to 381,120.86, 525,943.19 and 209,035.31 is: 288,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,120.86 : 525,943.19 = 209,035.31 : x
  2. Step 2: Convert to fraction form
    381,120.86/525,943.19 = 209,035.31/x
  3. Step 3: Cross multiply
    381,120.86x = 525,943.19 × 209,035.31
  4. Step 4: Simplify right side
    381,120.86x = 109,940,696,718.86
  5. Step 5: Solve for x
    x = 109,940,696,718.86/381,120.86
  6. Step 6: Final answer
    x = 288,466.76

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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.