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Finding the Fourth Proportional to 324,000.72, 486,072.09 and 99,378

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Solution

The fourth proportional to 324,000.72, 486,072.09 and 99,378 is: 149,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,000.72 : 486,072.09 = 99,378 : x
  2. Step 2: Convert to fraction form
    324,000.72/486,072.09 = 99,378/x
  3. Step 3: Cross multiply
    324,000.72x = 486,072.09 × 99,378
  4. Step 4: Simplify right side
    324,000.72x = 48,304,872,160.02
  5. Step 5: Solve for x
    x = 48,304,872,160.02/324,000.72
  6. Step 6: Final answer
    x = 149,088.78

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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.