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Finding the Fourth Proportional to 256,035, 353,175.87 and 165,444.19

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Solution

The fourth proportional to 256,035, 353,175.87 and 165,444.19 is: 228,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,035 : 353,175.87 = 165,444.19 : x
  2. Step 2: Convert to fraction form
    256,035/353,175.87 = 165,444.19/x
  3. Step 3: Cross multiply
    256,035x = 353,175.87 × 165,444.19
  4. Step 4: Simplify right side
    256,035x = 58,430,895,739.70
  5. Step 5: Solve for x
    x = 58,430,895,739.70/256,035
  6. Step 6: Final answer
    x = 228,214.49

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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.