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Finding the Fourth Proportional to 324,228.80, 486,112.80 and 146,820.80

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Solution

The fourth proportional to 324,228.80, 486,112.80 and 146,820.80 is: 220,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,228.80 : 486,112.80 = 146,820.80 : x
  2. Step 2: Convert to fraction form
    324,228.80/486,112.80 = 146,820.80/x
  3. Step 3: Cross multiply
    324,228.80x = 486,112.80 × 146,820.80
  4. Step 4: Simplify right side
    324,228.80x = 71,371,470,186.24
  5. Step 5: Solve for x
    x = 71,371,470,186.24/324,228.80
  6. Step 6: Final answer
    x = 220,126.87

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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.