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Finding the Fourth Proportional to 442,413.78, 663,623.04 and 109,989.78

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Solution

The fourth proportional to 442,413.78, 663,623.04 and 109,989.78 is: 164,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,413.78 : 663,623.04 = 109,989.78 : x
  2. Step 2: Convert to fraction form
    442,413.78/663,623.04 = 109,989.78/x
  3. Step 3: Cross multiply
    442,413.78x = 663,623.04 × 109,989.78
  4. Step 4: Simplify right side
    442,413.78x = 72,991,752,172.53
  5. Step 5: Solve for x
    x = 72,991,752,172.53/442,413.78
  6. Step 6: Final answer
    x = 164,985.26

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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.