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Finding the Fourth Proportional to 324,536.78, 486,749.01 and 87,824.18

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Solution

The fourth proportional to 324,536.78, 486,749.01 and 87,824.18 is: 131,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,536.78 : 486,749.01 = 87,824.18 : x
  2. Step 2: Convert to fraction form
    324,536.78/486,749.01 = 87,824.18/x
  3. Step 3: Cross multiply
    324,536.78x = 486,749.01 × 87,824.18
  4. Step 4: Simplify right side
    324,536.78x = 42,748,332,669.06
  5. Step 5: Solve for x
    x = 42,748,332,669.06/324,536.78
  6. Step 6: Final answer
    x = 131,721.07

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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.