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Finding the Fourth Proportional to 256,053.78, 353,269.94 and 165,463.11

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Solution

The fourth proportional to 256,053.78, 353,269.94 and 165,463.11 is: 228,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,053.78 : 353,269.94 = 165,463.11 : x
  2. Step 2: Convert to fraction form
    256,053.78/353,269.94 = 165,463.11/x
  3. Step 3: Cross multiply
    256,053.78x = 353,269.94 × 165,463.11
  4. Step 4: Simplify right side
    256,053.78x = 58,453,142,114.60
  5. Step 5: Solve for x
    x = 58,453,142,114.60/256,053.78
  6. Step 6: Final answer
    x = 228,284.63

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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.