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Finding the Fourth Proportional to 426,987.85, 639,963.89 and 313,616.84

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Solution

The fourth proportional to 426,987.85, 639,963.89 and 313,616.84 is: 470,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,987.85 : 639,963.89 = 313,616.84 : x
  2. Step 2: Convert to fraction form
    426,987.85/639,963.89 = 313,616.84/x
  3. Step 3: Cross multiply
    426,987.85x = 639,963.89 × 313,616.84
  4. Step 4: Simplify right side
    426,987.85x = 200,703,451,327.82
  5. Step 5: Solve for x
    x = 200,703,451,327.82/426,987.85
  6. Step 6: Final answer
    x = 470,044.88

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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.