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Finding the Fourth Proportional to 381,715.67, 572,486.02 and 171,413.75

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Solution

The fourth proportional to 381,715.67, 572,486.02 and 171,413.75 is: 257,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,715.67 : 572,486.02 = 171,413.75 : x
  2. Step 2: Convert to fraction form
    381,715.67/572,486.02 = 171,413.75/x
  3. Step 3: Cross multiply
    381,715.67x = 572,486.02 × 171,413.75
  4. Step 4: Simplify right side
    381,715.67x = 98,131,975,510.78
  5. Step 5: Solve for x
    x = 98,131,975,510.78/381,715.67
  6. Step 6: Final answer
    x = 257,081.34

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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.