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Finding the Fourth Proportional to 442,865.07, 664,403.06 and 143,345.70

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Solution

The fourth proportional to 442,865.07, 664,403.06 and 143,345.70 is: 215,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,865.07 : 664,403.06 = 143,345.70 : x
  2. Step 2: Convert to fraction form
    442,865.07/664,403.06 = 143,345.70/x
  3. Step 3: Cross multiply
    442,865.07x = 664,403.06 × 143,345.70
  4. Step 4: Simplify right side
    442,865.07x = 95,239,321,717.84
  5. Step 5: Solve for x
    x = 95,239,321,717.84/442,865.07
  6. Step 6: Final answer
    x = 215,052.68

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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.