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Finding the Fourth Proportional to 821,672.70, 1,231,721.70 and 347,706.06

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Solution

The fourth proportional to 821,672.70, 1,231,721.70 and 347,706.06 is: 521,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,672.70 : 1,231,721.70 = 347,706.06 : x
  2. Step 2: Convert to fraction form
    821,672.70/1,231,721.70 = 347,706.06/x
  3. Step 3: Cross multiply
    821,672.70x = 1,231,721.70 × 347,706.06
  4. Step 4: Simplify right side
    821,672.70x = 428,277,099,323.50
  5. Step 5: Solve for x
    x = 428,277,099,323.50/821,672.70
  6. Step 6: Final answer
    x = 521,225.91

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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.