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Finding the Fourth Proportional to 326,716.40, 490,366.20 and 282,393.20

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Solution

The fourth proportional to 326,716.40, 490,366.20 and 282,393.20 is: 423,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,716.40 : 490,366.20 = 282,393.20 : x
  2. Step 2: Convert to fraction form
    326,716.40/490,366.20 = 282,393.20/x
  3. Step 3: Cross multiply
    326,716.40x = 490,366.20 × 282,393.20
  4. Step 4: Simplify right side
    326,716.40x = 138,476,080,389.84
  5. Step 5: Solve for x
    x = 138,476,080,389.84/326,716.40
  6. Step 6: Final answer
    x = 423,841.84

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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.