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Finding the Fourth Proportional to 421,872.76, 632,882.04 and 185,239.36

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Solution

The fourth proportional to 421,872.76, 632,882.04 and 185,239.36 is: 277,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,872.76 : 632,882.04 = 185,239.36 : x
  2. Step 2: Convert to fraction form
    421,872.76/632,882.04 = 185,239.36/x
  3. Step 3: Cross multiply
    421,872.76x = 632,882.04 × 185,239.36
  4. Step 4: Simplify right side
    421,872.76x = 117,234,664,045.09
  5. Step 5: Solve for x
    x = 117,234,664,045.09/421,872.76
  6. Step 6: Final answer
    x = 277,891.05

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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.