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Finding the Fourth Proportional to 261,389.30, 360,920.41 and 200,864.48

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Solution

The fourth proportional to 261,389.30, 360,920.41 and 200,864.48 is: 277,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,389.30 : 360,920.41 = 200,864.48 : x
  2. Step 2: Convert to fraction form
    261,389.30/360,920.41 = 200,864.48/x
  3. Step 3: Cross multiply
    261,389.30x = 360,920.41 × 200,864.48
  4. Step 4: Simplify right side
    261,389.30x = 72,496,088,169.27
  5. Step 5: Solve for x
    x = 72,496,088,169.27/261,389.30
  6. Step 6: Final answer
    x = 277,349.11

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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.