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Finding the Fourth Proportional to 311,805.24, 430,295.16 and 189,262.20

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Solution

The fourth proportional to 311,805.24, 430,295.16 and 189,262.20 is: 261,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,805.24 : 430,295.16 = 189,262.20 : x
  2. Step 2: Convert to fraction form
    311,805.24/430,295.16 = 189,262.20/x
  3. Step 3: Cross multiply
    311,805.24x = 430,295.16 × 189,262.20
  4. Step 4: Simplify right side
    311,805.24x = 81,438,608,630.95
  5. Step 5: Solve for x
    x = 81,438,608,630.95/311,805.24
  6. Step 6: Final answer
    x = 261,184.22

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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.