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Finding the Fourth Proportional to 442,420.28, 663,844.02 and 217,658.84

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Solution

The fourth proportional to 442,420.28, 663,844.02 and 217,658.84 is: 326,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,420.28 : 663,844.02 = 217,658.84 : x
  2. Step 2: Convert to fraction form
    442,420.28/663,844.02 = 217,658.84/x
  3. Step 3: Cross multiply
    442,420.28x = 663,844.02 × 217,658.84
  4. Step 4: Simplify right side
    442,420.28x = 144,491,519,334.14
  5. Step 5: Solve for x
    x = 144,491,519,334.14/442,420.28
  6. Step 6: Final answer
    x = 326,593.35

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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.