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Finding the Fourth Proportional to 391,735.90, 587,656.16 and 155,023.26

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Solution

The fourth proportional to 391,735.90, 587,656.16 and 155,023.26 is: 232,555.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,735.90 : 587,656.16 = 155,023.26 : x
  2. Step 2: Convert to fraction form
    391,735.90/587,656.16 = 155,023.26/x
  3. Step 3: Cross multiply
    391,735.90x = 587,656.16 × 155,023.26
  4. Step 4: Simplify right side
    391,735.90x = 91,100,373,682.28
  5. Step 5: Solve for x
    x = 91,100,373,682.28/391,735.90
  6. Step 6: Final answer
    x = 232,555.59

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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.