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Finding the Fourth Proportional to 407,808, 611,953.92 and 186,209.28

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Solution

The fourth proportional to 407,808, 611,953.92 and 186,209.28 is: 279,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,808 : 611,953.92 = 186,209.28 : x
  2. Step 2: Convert to fraction form
    407,808/611,953.92 = 186,209.28/x
  3. Step 3: Cross multiply
    407,808x = 611,953.92 × 186,209.28
  4. Step 4: Simplify right side
    407,808x = 113,951,498,836.38
  5. Step 5: Solve for x
    x = 113,951,498,836.38/407,808
  6. Step 6: Final answer
    x = 279,424.38

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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.