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Finding the Fourth Proportional to 442,413.75, 663,623.06 and 109,989.75

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Solution

The fourth proportional to 442,413.75, 663,623.06 and 109,989.75 is: 164,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,413.75 : 663,623.06 = 109,989.75 : x
  2. Step 2: Convert to fraction form
    442,413.75/663,623.06 = 109,989.75/x
  3. Step 3: Cross multiply
    442,413.75x = 663,623.06 × 109,989.75
  4. Step 4: Simplify right side
    442,413.75x = 72,991,733,913.69
  5. Step 5: Solve for x
    x = 72,991,733,913.69/442,413.75
  6. Step 6: Final answer
    x = 164,985.23

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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.