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Finding the Fourth Proportional to 703,999.05, 971,520.78 and 381,709.23

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Solution

The fourth proportional to 703,999.05, 971,520.78 and 381,709.23 is: 526,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,999.05 : 971,520.78 = 381,709.23 : x
  2. Step 2: Convert to fraction form
    703,999.05/971,520.78 = 381,709.23/x
  3. Step 3: Cross multiply
    703,999.05x = 971,520.78 × 381,709.23
  4. Step 4: Simplify right side
    703,999.05x = 370,838,448,862.80
  5. Step 5: Solve for x
    x = 370,838,448,862.80/703,999.05
  6. Step 6: Final answer
    x = 526,759.87

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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.