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Finding the Fourth Proportional to 311,617.73, 430,758.90 and 277,959.80

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Solution

The fourth proportional to 311,617.73, 430,758.90 and 277,959.80 is: 384,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,617.73 : 430,758.90 = 277,959.80 : x
  2. Step 2: Convert to fraction form
    311,617.73/430,758.90 = 277,959.80/x
  3. Step 3: Cross multiply
    311,617.73x = 430,758.90 × 277,959.80
  4. Step 4: Simplify right side
    311,617.73x = 119,733,655,538.43
  5. Step 5: Solve for x
    x = 119,733,655,538.43/311,617.73
  6. Step 6: Final answer
    x = 384,232.49

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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.