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Finding the Fourth Proportional to 311,616.23, 430,756.83 and 277,958.30

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Solution

The fourth proportional to 311,616.23, 430,756.83 and 277,958.30 is: 384,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,616.23 : 430,756.83 = 277,958.30 : x
  2. Step 2: Convert to fraction form
    311,616.23/430,756.83 = 277,958.30/x
  3. Step 3: Cross multiply
    311,616.23x = 430,756.83 × 277,958.30
  4. Step 4: Simplify right side
    311,616.23x = 119,732,434,026.41
  5. Step 5: Solve for x
    x = 119,732,434,026.41/311,616.23
  6. Step 6: Final answer
    x = 384,230.42

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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.