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Finding the Fourth Proportional to 262,286.40, 392,846.40 and 202,929.60

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Solution

The fourth proportional to 262,286.40, 392,846.40 and 202,929.60 is: 303,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,286.40 : 392,846.40 = 202,929.60 : x
  2. Step 2: Convert to fraction form
    262,286.40/392,846.40 = 202,929.60/x
  3. Step 3: Cross multiply
    262,286.40x = 392,846.40 × 202,929.60
  4. Step 4: Simplify right side
    262,286.40x = 79,720,162,813.44
  5. Step 5: Solve for x
    x = 79,720,162,813.44/262,286.40
  6. Step 6: Final answer
    x = 303,943.18

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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.