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Finding the Fourth Proportional to 472,392,942.60, 708,589,413.90 and 265,768,681.80

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Solution

The fourth proportional to 472,392,942.60, 708,589,413.90 and 265,768,681.80 is: 398,653,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,942.60 : 708,589,413.90 = 265,768,681.80 : x
  2. Step 2: Convert to fraction form
    472,392,942.60/708,589,413.90 = 265,768,681.80/x
  3. Step 3: Cross multiply
    472,392,942.60x = 708,589,413.90 × 265,768,681.80
  4. Step 4: Simplify right side
    472,392,942.60x = 188,320,874,469,637,600
  5. Step 5: Solve for x
    x = 188,320,874,469,637,600/472,392,942.60
  6. Step 6: Final answer
    x = 398,653,022.70

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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.