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Finding the Fourth Proportional to 878,364, 1,212,142.32 and 475,956

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Solution

The fourth proportional to 878,364, 1,212,142.32 and 475,956 is: 656,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,364 : 1,212,142.32 = 475,956 : x
  2. Step 2: Convert to fraction form
    878,364/1,212,142.32 = 475,956/x
  3. Step 3: Cross multiply
    878,364x = 1,212,142.32 × 475,956
  4. Step 4: Simplify right side
    878,364x = 576,926,410,057.92
  5. Step 5: Solve for x
    x = 576,926,410,057.92/878,364
  6. Step 6: Final answer
    x = 656,819.28

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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.