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Finding the Fourth Proportional to 456,413.70, 684,620.55 and 231,808.80

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Solution

The fourth proportional to 456,413.70, 684,620.55 and 231,808.80 is: 347,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,413.70 : 684,620.55 = 231,808.80 : x
  2. Step 2: Convert to fraction form
    456,413.70/684,620.55 = 231,808.80/x
  3. Step 3: Cross multiply
    456,413.70x = 684,620.55 × 231,808.80
  4. Step 4: Simplify right side
    456,413.70x = 158,701,068,150.84
  5. Step 5: Solve for x
    x = 158,701,068,150.84/456,413.70
  6. Step 6: Final answer
    x = 347,713.20

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Similar ratio
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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.