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Finding the Fourth Proportional to 256,444.44, 353,874.78 and 141,721.71

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Solution

The fourth proportional to 256,444.44, 353,874.78 and 141,721.71 is: 195,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,444.44 : 353,874.78 = 141,721.71 : x
  2. Step 2: Convert to fraction form
    256,444.44/353,874.78 = 141,721.71/x
  3. Step 3: Cross multiply
    256,444.44x = 353,874.78 × 141,721.71
  4. Step 4: Simplify right side
    256,444.44x = 50,151,738,947.47
  5. Step 5: Solve for x
    x = 50,151,738,947.47/256,444.44
  6. Step 6: Final answer
    x = 195,565.71

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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.