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Finding the Fourth Proportional to 256,008.78, 353,279.16 and 142,809.66

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Solution

The fourth proportional to 256,008.78, 353,279.16 and 142,809.66 is: 197,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,008.78 : 353,279.16 = 142,809.66 : x
  2. Step 2: Convert to fraction form
    256,008.78/353,279.16 = 142,809.66/x
  3. Step 3: Cross multiply
    256,008.78x = 353,279.16 × 142,809.66
  4. Step 4: Simplify right side
    256,008.78x = 50,451,676,724.69
  5. Step 5: Solve for x
    x = 50,451,676,724.69/256,008.78
  6. Step 6: Final answer
    x = 197,070.10

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1.5x scale

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.