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Finding the Fourth Proportional to 285,355.80, 428,208.66 and 127,717.56

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Solution

The fourth proportional to 285,355.80, 428,208.66 and 127,717.56 is: 191,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,355.80 : 428,208.66 = 127,717.56 : x
  2. Step 2: Convert to fraction form
    285,355.80/428,208.66 = 127,717.56/x
  3. Step 3: Cross multiply
    285,355.80x = 428,208.66 × 127,717.56
  4. Step 4: Simplify right side
    285,355.80x = 54,689,765,226.07
  5. Step 5: Solve for x
    x = 54,689,765,226.07/285,355.80
  6. Step 6: Final answer
    x = 191,654.65

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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.