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Finding the Fourth Proportional to 390,413.92, 585,761.36 and 153,625.44

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Solution

The fourth proportional to 390,413.92, 585,761.36 and 153,625.44 is: 230,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,413.92 : 585,761.36 = 153,625.44 : x
  2. Step 2: Convert to fraction form
    390,413.92/585,761.36 = 153,625.44/x
  3. Step 3: Cross multiply
    390,413.92x = 585,761.36 × 153,625.44
  4. Step 4: Simplify right side
    390,413.92x = 89,987,846,665.00
  5. Step 5: Solve for x
    x = 89,987,846,665.00/390,413.92
  6. Step 6: Final answer
    x = 230,493.44

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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.