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Finding the Fourth Proportional to 390,850.78, 585,881.46 and 188,149.19

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Solution

The fourth proportional to 390,850.78, 585,881.46 and 188,149.19 is: 282,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,850.78 : 585,881.46 = 188,149.19 : x
  2. Step 2: Convert to fraction form
    390,850.78/585,881.46 = 188,149.19/x
  3. Step 3: Cross multiply
    390,850.78x = 585,881.46 × 188,149.19
  4. Step 4: Simplify right side
    390,850.78x = 110,233,122,135.02
  5. Step 5: Solve for x
    x = 110,233,122,135.02/390,850.78
  6. Step 6: Final answer
    x = 282,033.78

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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.