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Finding the Fourth Proportional to 381,413.40, 572,124.42 and 115,176.12

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Solution

The fourth proportional to 381,413.40, 572,124.42 and 115,176.12 is: 172,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,413.40 : 572,124.42 = 115,176.12 : x
  2. Step 2: Convert to fraction form
    381,413.40/572,124.42 = 115,176.12/x
  3. Step 3: Cross multiply
    381,413.40x = 572,124.42 × 115,176.12
  4. Step 4: Simplify right side
    381,413.40x = 65,895,070,852.85
  5. Step 5: Solve for x
    x = 65,895,070,852.85/381,413.40
  6. Step 6: Final answer
    x = 172,765.48

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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.