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Finding the Fourth Proportional to 315,781.90, 435,972.09 and 205,505.62

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Solution

The fourth proportional to 315,781.90, 435,972.09 and 205,505.62 is: 283,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,781.90 : 435,972.09 = 205,505.62 : x
  2. Step 2: Convert to fraction form
    315,781.90/435,972.09 = 205,505.62/x
  3. Step 3: Cross multiply
    315,781.90x = 435,972.09 × 205,505.62
  4. Step 4: Simplify right side
    315,781.90x = 89,594,714,658.15
  5. Step 5: Solve for x
    x = 89,594,714,658.15/315,781.90
  6. Step 6: Final answer
    x = 283,723.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.