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Finding the Fourth Proportional to 324,287.40, 486,432.72 and 146,586.36

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Solution

The fourth proportional to 324,287.40, 486,432.72 and 146,586.36 is: 219,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,287.40 : 486,432.72 = 146,586.36 : x
  2. Step 2: Convert to fraction form
    324,287.40/486,432.72 = 146,586.36/x
  3. Step 3: Cross multiply
    324,287.40x = 486,432.72 × 146,586.36
  4. Step 4: Simplify right side
    324,287.40x = 71,304,401,809.70
  5. Step 5: Solve for x
    x = 71,304,401,809.70/324,287.40
  6. Step 6: Final answer
    x = 219,880.27

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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.