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Finding the Fourth Proportional to 284,693.48, 391,743.78 and 276,036.20

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Solution

The fourth proportional to 284,693.48, 391,743.78 and 276,036.20 is: 379,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,693.48 : 391,743.78 = 276,036.20 : x
  2. Step 2: Convert to fraction form
    284,693.48/391,743.78 = 276,036.20/x
  3. Step 3: Cross multiply
    284,693.48x = 391,743.78 × 276,036.20
  4. Step 4: Simplify right side
    284,693.48x = 108,135,464,404.84
  5. Step 5: Solve for x
    x = 108,135,464,404.84/284,693.48
  6. Step 6: Final answer
    x = 379,831.19

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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.