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Finding the Fourth Proportional to 324,013.80, 486,239.40 and 146,429.40

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Solution

The fourth proportional to 324,013.80, 486,239.40 and 146,429.40 is: 219,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,013.80 : 486,239.40 = 146,429.40 : x
  2. Step 2: Convert to fraction form
    324,013.80/486,239.40 = 146,429.40/x
  3. Step 3: Cross multiply
    324,013.80x = 486,239.40 × 146,429.40
  4. Step 4: Simplify right side
    324,013.80x = 71,199,743,598.36
  5. Step 5: Solve for x
    x = 71,199,743,598.36/324,013.80
  6. Step 6: Final answer
    x = 219,742.94

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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.