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Finding the Fourth Proportional to 442,735.40, 664,016.70 and 143,143.40

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Solution

The fourth proportional to 442,735.40, 664,016.70 and 143,143.40 is: 214,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,735.40 : 664,016.70 = 143,143.40 : x
  2. Step 2: Convert to fraction form
    442,735.40/664,016.70 = 143,143.40/x
  3. Step 3: Cross multiply
    442,735.40x = 664,016.70 × 143,143.40
  4. Step 4: Simplify right side
    442,735.40x = 95,049,608,094.78
  5. Step 5: Solve for x
    x = 95,049,608,094.78/442,735.40
  6. Step 6: Final answer
    x = 214,687.17

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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.