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Finding the Fourth Proportional to 286,023.72, 394,712.10 and 158,717.64

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Solution

The fourth proportional to 286,023.72, 394,712.10 and 158,717.64 is: 219,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,023.72 : 394,712.10 = 158,717.64 : x
  2. Step 2: Convert to fraction form
    286,023.72/394,712.10 = 158,717.64/x
  3. Step 3: Cross multiply
    286,023.72x = 394,712.10 × 158,717.64
  4. Step 4: Simplify right side
    286,023.72x = 62,647,772,991.44
  5. Step 5: Solve for x
    x = 62,647,772,991.44/286,023.72
  6. Step 6: Final answer
    x = 219,029.99

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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.