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Finding the Fourth Proportional to 311,382.14, 429,777.29 and 203,889.74

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Solution

The fourth proportional to 311,382.14, 429,777.29 and 203,889.74 is: 281,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,382.14 : 429,777.29 = 203,889.74 : x
  2. Step 2: Convert to fraction form
    311,382.14/429,777.29 = 203,889.74/x
  3. Step 3: Cross multiply
    311,382.14x = 429,777.29 × 203,889.74
  4. Step 4: Simplify right side
    311,382.14x = 87,627,178,276.84
  5. Step 5: Solve for x
    x = 87,627,178,276.84/311,382.14
  6. Step 6: Final answer
    x = 281,413.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.