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Finding the Fourth Proportional to 492,065.40, 738,389.70 and 324,067.35

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Solution

The fourth proportional to 492,065.40, 738,389.70 and 324,067.35 is: 486,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,065.40 : 738,389.70 = 324,067.35 : x
  2. Step 2: Convert to fraction form
    492,065.40/738,389.70 = 324,067.35/x
  3. Step 3: Cross multiply
    492,065.40x = 738,389.70 × 324,067.35
  4. Step 4: Simplify right side
    492,065.40x = 239,287,993,346.30
  5. Step 5: Solve for x
    x = 239,287,993,346.30/492,065.40
  6. Step 6: Final answer
    x = 486,293.07

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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.