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Finding the Fourth Proportional to 311,751.86, 466,951.10 and 191,443.70

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Solution

The fourth proportional to 311,751.86, 466,951.10 and 191,443.70 is: 286,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,751.86 : 466,951.10 = 191,443.70 : x
  2. Step 2: Convert to fraction form
    311,751.86/466,951.10 = 191,443.70/x
  3. Step 3: Cross multiply
    311,751.86x = 466,951.10 × 191,443.70
  4. Step 4: Simplify right side
    311,751.86x = 89,394,846,513.23
  5. Step 5: Solve for x
    x = 89,394,846,513.23/311,751.86
  6. Step 6: Final answer
    x = 286,750.01

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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.