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Finding the Fourth Proportional to 418,703.63, 627,817.61 and 285,744.97

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Solution

The fourth proportional to 418,703.63, 627,817.61 and 285,744.97 is: 428,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,703.63 : 627,817.61 = 285,744.97 : x
  2. Step 2: Convert to fraction form
    418,703.63/627,817.61 = 285,744.97/x
  3. Step 3: Cross multiply
    418,703.63x = 627,817.61 × 285,744.97
  4. Step 4: Simplify right side
    418,703.63x = 179,395,723,279.74
  5. Step 5: Solve for x
    x = 179,395,723,279.74/418,703.63
  6. Step 6: Final answer
    x = 428,455.14

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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.