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Finding the Fourth Proportional to 324,076, 486,089.52 and 113,728

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Solution

The fourth proportional to 324,076, 486,089.52 and 113,728 is: 170,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,076 : 486,089.52 = 113,728 : x
  2. Step 2: Convert to fraction form
    324,076/486,089.52 = 113,728/x
  3. Step 3: Cross multiply
    324,076x = 486,089.52 × 113,728
  4. Step 4: Simplify right side
    324,076x = 55,281,988,930.56
  5. Step 5: Solve for x
    x = 55,281,988,930.56/324,076
  6. Step 6: Final answer
    x = 170,583.41

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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.