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Finding the Fourth Proportional to 510,221.40, 765,413.10 and 173,293.80

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Solution

The fourth proportional to 510,221.40, 765,413.10 and 173,293.80 is: 259,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,221.40 : 765,413.10 = 173,293.80 : x
  2. Step 2: Convert to fraction form
    510,221.40/765,413.10 = 173,293.80/x
  3. Step 3: Cross multiply
    510,221.40x = 765,413.10 × 173,293.80
  4. Step 4: Simplify right side
    510,221.40x = 132,641,344,668.78
  5. Step 5: Solve for x
    x = 132,641,344,668.78/510,221.40
  6. Step 6: Final answer
    x = 259,968.21

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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.