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Finding the Fourth Proportional to 442,035.78, 662,498.64 and 189,019.14

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Solution

The fourth proportional to 442,035.78, 662,498.64 and 189,019.14 is: 283,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,035.78 : 662,498.64 = 189,019.14 : x
  2. Step 2: Convert to fraction form
    442,035.78/662,498.64 = 189,019.14/x
  3. Step 3: Cross multiply
    442,035.78x = 662,498.64 × 189,019.14
  4. Step 4: Simplify right side
    442,035.78x = 125,224,923,183.97
  5. Step 5: Solve for x
    x = 125,224,923,183.97/442,035.78
  6. Step 6: Final answer
    x = 283,291.37

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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.