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Finding the Fourth Proportional to 411,393.12, 616,451.40 and 285,279.36

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Solution

The fourth proportional to 411,393.12, 616,451.40 and 285,279.36 is: 427,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,393.12 : 616,451.40 = 285,279.36 : x
  2. Step 2: Convert to fraction form
    411,393.12/616,451.40 = 285,279.36/x
  3. Step 3: Cross multiply
    411,393.12x = 616,451.40 × 285,279.36
  4. Step 4: Simplify right side
    411,393.12x = 175,860,860,863.10
  5. Step 5: Solve for x
    x = 175,860,860,863.10/411,393.12
  6. Step 6: Final answer
    x = 427,476.43

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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.