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Finding the Fourth Proportional to 286,010.76, 394,695 and 158,686.56

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Solution

The fourth proportional to 286,010.76, 394,695 and 158,686.56 is: 218,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,010.76 : 394,695 = 158,686.56 : x
  2. Step 2: Convert to fraction form
    286,010.76/394,695 = 158,686.56/x
  3. Step 3: Cross multiply
    286,010.76x = 394,695 × 158,686.56
  4. Step 4: Simplify right side
    286,010.76x = 62,632,791,799.20
  5. Step 5: Solve for x
    x = 62,632,791,799.20/286,010.76
  6. Step 6: Final answer
    x = 218,987.54

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1.5x scale

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.