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Finding the Fourth Proportional to 256,508.96, 354,081.16 and 229,604

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Solution

The fourth proportional to 256,508.96, 354,081.16 and 229,604 is: 316,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,508.96 : 354,081.16 = 229,604 : x
  2. Step 2: Convert to fraction form
    256,508.96/354,081.16 = 229,604/x
  3. Step 3: Cross multiply
    256,508.96x = 354,081.16 × 229,604
  4. Step 4: Simplify right side
    256,508.96x = 81,298,450,660.64
  5. Step 5: Solve for x
    x = 81,298,450,660.64/256,508.96
  6. Step 6: Final answer
    x = 316,941.95

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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.