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Finding the Fourth Proportional to 256,414.14, 354,018.60 and 229,510.80

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Solution

The fourth proportional to 256,414.14, 354,018.60 and 229,510.80 is: 316,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,414.14 : 354,018.60 = 229,510.80 : x
  2. Step 2: Convert to fraction form
    256,414.14/354,018.60 = 229,510.80/x
  3. Step 3: Cross multiply
    256,414.14x = 354,018.60 × 229,510.80
  4. Step 4: Simplify right side
    256,414.14x = 81,251,092,100.88
  5. Step 5: Solve for x
    x = 81,251,092,100.88/256,414.14
  6. Step 6: Final answer
    x = 316,874.46

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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.