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Finding the Fourth Proportional to 646,413.60, 971,175.60 and 577,984.80

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Solution

The fourth proportional to 646,413.60, 971,175.60 and 577,984.80 is: 868,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,413.60 : 971,175.60 = 577,984.80 : x
  2. Step 2: Convert to fraction form
    646,413.60/971,175.60 = 577,984.80/x
  3. Step 3: Cross multiply
    646,413.60x = 971,175.60 × 577,984.80
  4. Step 4: Simplify right side
    646,413.60x = 561,324,734,930.88
  5. Step 5: Solve for x
    x = 561,324,734,930.88/646,413.60
  6. Step 6: Final answer
    x = 868,367.77

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1.5x scale

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.