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Finding the Fourth Proportional to 324,719.76, 486,859.32 and 114,330

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Solution

The fourth proportional to 324,719.76, 486,859.32 and 114,330 is: 171,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,719.76 : 486,859.32 = 114,330 : x
  2. Step 2: Convert to fraction form
    324,719.76/486,859.32 = 114,330/x
  3. Step 3: Cross multiply
    324,719.76x = 486,859.32 × 114,330
  4. Step 4: Simplify right side
    324,719.76x = 55,662,626,055.60
  5. Step 5: Solve for x
    x = 55,662,626,055.60/324,719.76
  6. Step 6: Final answer
    x = 171,417.43

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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.