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Finding the Fourth Proportional to 418,835.45, 628,015.17 and 285,876.65

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Solution

The fourth proportional to 418,835.45, 628,015.17 and 285,876.65 is: 428,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,835.45 : 628,015.17 = 285,876.65 : x
  2. Step 2: Convert to fraction form
    418,835.45/628,015.17 = 285,876.65/x
  3. Step 3: Cross multiply
    418,835.45x = 628,015.17 × 285,876.65
  4. Step 4: Simplify right side
    418,835.45x = 179,534,872,948.78
  5. Step 5: Solve for x
    x = 179,534,872,948.78/418,835.45
  6. Step 6: Final answer
    x = 428,652.52

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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.