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Finding the Fourth Proportional to 468,638.39, 646,722.97 and 253,778.64

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Solution

The fourth proportional to 468,638.39, 646,722.97 and 253,778.64 is: 350,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,638.39 : 646,722.97 = 253,778.64 : x
  2. Step 2: Convert to fraction form
    468,638.39/646,722.97 = 253,778.64/x
  3. Step 3: Cross multiply
    468,638.39x = 646,722.97 × 253,778.64
  4. Step 4: Simplify right side
    468,638.39x = 164,124,472,723.70
  5. Step 5: Solve for x
    x = 164,124,472,723.70/468,638.39
  6. Step 6: Final answer
    x = 350,215.59

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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.