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Finding the Fourth Proportional to 256,523.88, 353,916.65 and 165,994.38

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Solution

The fourth proportional to 256,523.88, 353,916.65 and 165,994.38 is: 229,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,523.88 : 353,916.65 = 165,994.38 : x
  2. Step 2: Convert to fraction form
    256,523.88/353,916.65 = 165,994.38/x
  3. Step 3: Cross multiply
    256,523.88x = 353,916.65 × 165,994.38
  4. Step 4: Simplify right side
    256,523.88x = 58,748,176,630.60
  5. Step 5: Solve for x
    x = 58,748,176,630.60/256,523.88
  6. Step 6: Final answer
    x = 229,016.40

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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.