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Finding the Fourth Proportional to 286,031.88, 394,724.06 and 158,708.38

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Solution

The fourth proportional to 286,031.88, 394,724.06 and 158,708.38 is: 219,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,031.88 : 394,724.06 = 158,708.38 : x
  2. Step 2: Convert to fraction form
    286,031.88/394,724.06 = 158,708.38/x
  3. Step 3: Cross multiply
    286,031.88x = 394,724.06 × 158,708.38
  4. Step 4: Simplify right side
    286,031.88x = 62,646,016,109.62
  5. Step 5: Solve for x
    x = 62,646,016,109.62/286,031.88
  6. Step 6: Final answer
    x = 219,017.60

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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.