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Finding the Fourth Proportional to 874,133, 1,311,978.24 and 447,959.04

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Solution

The fourth proportional to 874,133, 1,311,978.24 and 447,959.04 is: 672,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,133 : 1,311,978.24 = 447,959.04 : x
  2. Step 2: Convert to fraction form
    874,133/1,311,978.24 = 447,959.04/x
  3. Step 3: Cross multiply
    874,133x = 1,311,978.24 × 447,959.04
  4. Step 4: Simplify right side
    874,133x = 587,712,512,891.29
  5. Step 5: Solve for x
    x = 587,712,512,891.29/874,133
  6. Step 6: Final answer
    x = 672,337.63

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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.