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Finding the Fourth Proportional to 418,364.82, 627,395.31 and 228,965.16

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Solution

The fourth proportional to 418,364.82, 627,395.31 and 228,965.16 is: 343,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,364.82 : 627,395.31 = 228,965.16 : x
  2. Step 2: Convert to fraction form
    418,364.82/627,395.31 = 228,965.16/x
  3. Step 3: Cross multiply
    418,364.82x = 627,395.31 × 228,965.16
  4. Step 4: Simplify right side
    418,364.82x = 143,651,667,537.40
  5. Step 5: Solve for x
    x = 143,651,667,537.40/418,364.82
  6. Step 6: Final answer
    x = 343,364.60

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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.