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Finding the Fourth Proportional to 412,274.70, 618,500.34 and 127,959.30

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Solution

The fourth proportional to 412,274.70, 618,500.34 and 127,959.30 is: 191,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,274.70 : 618,500.34 = 127,959.30 : x
  2. Step 2: Convert to fraction form
    412,274.70/618,500.34 = 127,959.30/x
  3. Step 3: Cross multiply
    412,274.70x = 618,500.34 × 127,959.30
  4. Step 4: Simplify right side
    412,274.70x = 79,142,870,556.16
  5. Step 5: Solve for x
    x = 79,142,870,556.16/412,274.70
  6. Step 6: Final answer
    x = 191,966.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.