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Finding the Fourth Proportional to 418,319.80, 628,791.90 and 410,446.60

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Solution

The fourth proportional to 418,319.80, 628,791.90 and 410,446.60 is: 616,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,319.80 : 628,791.90 = 410,446.60 : x
  2. Step 2: Convert to fraction form
    418,319.80/628,791.90 = 410,446.60/x
  3. Step 3: Cross multiply
    418,319.80x = 628,791.90 × 410,446.60
  4. Step 4: Simplify right side
    418,319.80x = 258,085,497,462.54
  5. Step 5: Solve for x
    x = 258,085,497,462.54/418,319.80
  6. Step 6: Final answer
    x = 616,957.40

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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.