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Finding the Fourth Proportional to 256,021.60, 353,162.88 and 148,577.92

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Solution

The fourth proportional to 256,021.60, 353,162.88 and 148,577.92 is: 204,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.60 : 353,162.88 = 148,577.92 : x
  2. Step 2: Convert to fraction form
    256,021.60/353,162.88 = 148,577.92/x
  3. Step 3: Cross multiply
    256,021.60x = 353,162.88 × 148,577.92
  4. Step 4: Simplify right side
    256,021.60x = 52,472,206,131.61
  5. Step 5: Solve for x
    x = 52,472,206,131.61/256,021.60
  6. Step 6: Final answer
    x = 204,952.26

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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.