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Finding the Fourth Proportional to 312,229.40, 430,584.12 and 207,267.71

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Solution

The fourth proportional to 312,229.40, 430,584.12 and 207,267.71 is: 285,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,229.40 : 430,584.12 = 207,267.71 : x
  2. Step 2: Convert to fraction form
    312,229.40/430,584.12 = 207,267.71/x
  3. Step 3: Cross multiply
    312,229.40x = 430,584.12 × 207,267.71
  4. Step 4: Simplify right side
    312,229.40x = 89,246,182,361.84
  5. Step 5: Solve for x
    x = 89,246,182,361.84/312,229.40
  6. Step 6: Final answer
    x = 285,835.30

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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.