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Finding the Fourth Proportional to 289,953.32, 434,960.06 and 100,413.32

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Solution

The fourth proportional to 289,953.32, 434,960.06 and 100,413.32 is: 150,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,953.32 : 434,960.06 = 100,413.32 : x
  2. Step 2: Convert to fraction form
    289,953.32/434,960.06 = 100,413.32/x
  3. Step 3: Cross multiply
    289,953.32x = 434,960.06 × 100,413.32
  4. Step 4: Simplify right side
    289,953.32x = 43,675,781,015.13
  5. Step 5: Solve for x
    x = 43,675,781,015.13/289,953.32
  6. Step 6: Final answer
    x = 150,630.39

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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.