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Finding the Fourth Proportional to 566,228.50, 781,408.32 and 321,229.65

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Solution

The fourth proportional to 566,228.50, 781,408.32 and 321,229.65 is: 443,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,228.50 : 781,408.32 = 321,229.65 : x
  2. Step 2: Convert to fraction form
    566,228.50/781,408.32 = 321,229.65/x
  3. Step 3: Cross multiply
    566,228.50x = 781,408.32 × 321,229.65
  4. Step 4: Simplify right side
    566,228.50x = 251,011,525,448.56
  5. Step 5: Solve for x
    x = 251,011,525,448.56/566,228.50
  6. Step 6: Final answer
    x = 443,304.29

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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.