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Finding the Fourth Proportional to 283,376.84, 390,394.89 and 197,187.61

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Solution

The fourth proportional to 283,376.84, 390,394.89 and 197,187.61 is: 271,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,376.84 : 390,394.89 = 197,187.61 : x
  2. Step 2: Convert to fraction form
    283,376.84/390,394.89 = 197,187.61/x
  3. Step 3: Cross multiply
    283,376.84x = 390,394.89 × 197,187.61
  4. Step 4: Simplify right side
    283,376.84x = 76,981,034,329.37
  5. Step 5: Solve for x
    x = 76,981,034,329.37/283,376.84
  6. Step 6: Final answer
    x = 271,656.05

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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.