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Finding the Fourth Proportional to 390,125.25, 585,208.14 and 123,906.60

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Solution

The fourth proportional to 390,125.25, 585,208.14 and 123,906.60 is: 185,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,125.25 : 585,208.14 = 123,906.60 : x
  2. Step 2: Convert to fraction form
    390,125.25/585,208.14 = 123,906.60/x
  3. Step 3: Cross multiply
    390,125.25x = 585,208.14 × 123,906.60
  4. Step 4: Simplify right side
    390,125.25x = 72,511,150,919.72
  5. Step 5: Solve for x
    x = 72,511,150,919.72/390,125.25
  6. Step 6: Final answer
    x = 185,866.34

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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.