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Finding the Fourth Proportional to 309,465.47, 427,063.43 and 194,819.97

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Solution

The fourth proportional to 309,465.47, 427,063.43 and 194,819.97 is: 268,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,465.47 : 427,063.43 = 194,819.97 : x
  2. Step 2: Convert to fraction form
    309,465.47/427,063.43 = 194,819.97/x
  3. Step 3: Cross multiply
    309,465.47x = 427,063.43 × 194,819.97
  4. Step 4: Simplify right side
    309,465.47x = 83,200,482,972.43
  5. Step 5: Solve for x
    x = 83,200,482,972.43/309,465.47
  6. Step 6: Final answer
    x = 268,852.24

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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.