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Finding the Fourth Proportional to 418,857.80, 628,649.46 and 219,317.72

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Solution

The fourth proportional to 418,857.80, 628,649.46 and 219,317.72 is: 329,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,857.80 : 628,649.46 = 219,317.72 : x
  2. Step 2: Convert to fraction form
    418,857.80/628,649.46 = 219,317.72/x
  3. Step 3: Cross multiply
    418,857.80x = 628,649.46 × 219,317.72
  4. Step 4: Simplify right side
    418,857.80x = 137,873,966,246.43
  5. Step 5: Solve for x
    x = 137,873,966,246.43/418,857.80
  6. Step 6: Final answer
    x = 329,166.52

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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.