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Finding the Fourth Proportional to 442,651.20, 663,890.40 and 147,163.20

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Solution

The fourth proportional to 442,651.20, 663,890.40 and 147,163.20 is: 220,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,651.20 : 663,890.40 = 147,163.20 : x
  2. Step 2: Convert to fraction form
    442,651.20/663,890.40 = 147,163.20/x
  3. Step 3: Cross multiply
    442,651.20x = 663,890.40 × 147,163.20
  4. Step 4: Simplify right side
    442,651.20x = 97,700,235,713.28
  5. Step 5: Solve for x
    x = 97,700,235,713.28/442,651.20
  6. Step 6: Final answer
    x = 220,716.08

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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.