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Finding the Fourth Proportional to 256,719.71, 384,820.77 and 107,042.65

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Solution

The fourth proportional to 256,719.71, 384,820.77 and 107,042.65 is: 160,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,719.71 : 384,820.77 = 107,042.65 : x
  2. Step 2: Convert to fraction form
    256,719.71/384,820.77 = 107,042.65/x
  3. Step 3: Cross multiply
    256,719.71x = 384,820.77 × 107,042.65
  4. Step 4: Simplify right side
    256,719.71x = 41,192,234,995.84
  5. Step 5: Solve for x
    x = 41,192,234,995.84/256,719.71
  6. Step 6: Final answer
    x = 160,456.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.