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Finding the Fourth Proportional to 418,771.72, 627,918.90 and 285,812.92

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Solution

The fourth proportional to 418,771.72, 627,918.90 and 285,812.92 is: 428,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,771.72 : 627,918.90 = 285,812.92 : x
  2. Step 2: Convert to fraction form
    418,771.72/627,918.90 = 285,812.92/x
  3. Step 3: Cross multiply
    418,771.72x = 627,918.90 × 285,812.92
  4. Step 4: Simplify right side
    418,771.72x = 179,467,334,332.19
  5. Step 5: Solve for x
    x = 179,467,334,332.19/418,771.72
  6. Step 6: Final answer
    x = 428,556.48

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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.