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Finding the Fourth Proportional to 390,144, 585,216.24 and 94,656

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Solution

The fourth proportional to 390,144, 585,216.24 and 94,656 is: 141,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,144 : 585,216.24 = 94,656 : x
  2. Step 2: Convert to fraction form
    390,144/585,216.24 = 94,656/x
  3. Step 3: Cross multiply
    390,144x = 585,216.24 × 94,656
  4. Step 4: Simplify right side
    390,144x = 55,394,228,413.44
  5. Step 5: Solve for x
    x = 55,394,228,413.44/390,144
  6. Step 6: Final answer
    x = 141,984.06

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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.