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Finding the Fourth Proportional to 703,772, 971,206.03 and 381,482

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Solution

The fourth proportional to 703,772, 971,206.03 and 381,482 is: 526,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,772 : 971,206.03 = 381,482 : x
  2. Step 2: Convert to fraction form
    703,772/971,206.03 = 381,482/x
  3. Step 3: Cross multiply
    703,772x = 971,206.03 × 381,482
  4. Step 4: Simplify right side
    703,772x = 370,497,618,736.46
  5. Step 5: Solve for x
    x = 370,497,618,736.46/703,772
  6. Step 6: Final answer
    x = 526,445.52

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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.