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Finding the Fourth Proportional to 279,019.83, 418,398.39 and 194,875.02

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Solution

The fourth proportional to 279,019.83, 418,398.39 and 194,875.02 is: 292,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,019.83 : 418,398.39 = 194,875.02 : x
  2. Step 2: Convert to fraction form
    279,019.83/418,398.39 = 194,875.02/x
  3. Step 3: Cross multiply
    279,019.83x = 418,398.39 × 194,875.02
  4. Step 4: Simplify right side
    279,019.83x = 81,535,394,619.22
  5. Step 5: Solve for x
    x = 81,535,394,619.22/279,019.83
  6. Step 6: Final answer
    x = 292,220.79

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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.