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Finding the Fourth Proportional to 384,645.80, 576,968.70 and 171,413.30

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Solution

The fourth proportional to 384,645.80, 576,968.70 and 171,413.30 is: 257,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,645.80 : 576,968.70 = 171,413.30 : x
  2. Step 2: Convert to fraction form
    384,645.80/576,968.70 = 171,413.30/x
  3. Step 3: Cross multiply
    384,645.80x = 576,968.70 × 171,413.30
  4. Step 4: Simplify right side
    384,645.80x = 98,900,108,863.71
  5. Step 5: Solve for x
    x = 98,900,108,863.71/384,645.80
  6. Step 6: Final answer
    x = 257,119.95

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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.