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Finding the Fourth Proportional to 442,900.40, 664,456.02 and 143,381

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Solution

The fourth proportional to 442,900.40, 664,456.02 and 143,381 is: 215,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,900.40 : 664,456.02 = 143,381 : x
  2. Step 2: Convert to fraction form
    442,900.40/664,456.02 = 143,381/x
  3. Step 3: Cross multiply
    442,900.40x = 664,456.02 × 143,381
  4. Step 4: Simplify right side
    442,900.40x = 95,270,368,603.62
  5. Step 5: Solve for x
    x = 95,270,368,603.62/442,900.40
  6. Step 6: Final answer
    x = 215,105.63

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1.5x scale

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.