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Finding the Fourth Proportional to 256,290, 353,678.79 and 141,576.53

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Solution

The fourth proportional to 256,290, 353,678.79 and 141,576.53 is: 195,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,290 : 353,678.79 = 141,576.53 : x
  2. Step 2: Convert to fraction form
    256,290/353,678.79 = 141,576.53/x
  3. Step 3: Cross multiply
    256,290x = 353,678.79 × 141,576.53
  4. Step 4: Simplify right side
    256,290x = 50,072,615,822.80
  5. Step 5: Solve for x
    x = 50,072,615,822.80/256,290
  6. Step 6: Final answer
    x = 195,374.83

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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.