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Finding the Fourth Proportional to 687,563.64, 948,791.81 and 415,781.40

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Solution

The fourth proportional to 687,563.64, 948,791.81 and 415,781.40 is: 573,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,563.64 : 948,791.81 = 415,781.40 : x
  2. Step 2: Convert to fraction form
    687,563.64/948,791.81 = 415,781.40/x
  3. Step 3: Cross multiply
    687,563.64x = 948,791.81 × 415,781.40
  4. Step 4: Simplify right side
    687,563.64x = 394,489,991,667.76
  5. Step 5: Solve for x
    x = 394,489,991,667.76/687,563.64
  6. Step 6: Final answer
    x = 573,750.51

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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.