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Finding the Fourth Proportional to 265,399.80, 398,099.70 and 212,911.80

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Solution

The fourth proportional to 265,399.80, 398,099.70 and 212,911.80 is: 319,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,399.80 : 398,099.70 = 212,911.80 : x
  2. Step 2: Convert to fraction form
    265,399.80/398,099.70 = 212,911.80/x
  3. Step 3: Cross multiply
    265,399.80x = 398,099.70 × 212,911.80
  4. Step 4: Simplify right side
    265,399.80x = 84,760,123,706.46
  5. Step 5: Solve for x
    x = 84,760,123,706.46/265,399.80
  6. Step 6: Final answer
    x = 319,367.70

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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.