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Finding the Fourth Proportional to 423,847.48, 635,149.14 and 213,195.64

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Solution

The fourth proportional to 423,847.48, 635,149.14 and 213,195.64 is: 319,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,847.48 : 635,149.14 = 213,195.64 : x
  2. Step 2: Convert to fraction form
    423,847.48/635,149.14 = 213,195.64/x
  3. Step 3: Cross multiply
    423,847.48x = 635,149.14 × 213,195.64
  4. Step 4: Simplify right side
    423,847.48x = 135,411,027,397.75
  5. Step 5: Solve for x
    x = 135,411,027,397.75/423,847.48
  6. Step 6: Final answer
    x = 319,480.55

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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.