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Finding the Fourth Proportional to 286,208.80, 394,978.32 and 158,886.40

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Solution

The fourth proportional to 286,208.80, 394,978.32 and 158,886.40 is: 219,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,208.80 : 394,978.32 = 158,886.40 : x
  2. Step 2: Convert to fraction form
    286,208.80/394,978.32 = 158,886.40/x
  3. Step 3: Cross multiply
    286,208.80x = 394,978.32 × 158,886.40
  4. Step 4: Simplify right side
    286,208.80x = 62,756,683,342.85
  5. Step 5: Solve for x
    x = 62,756,683,342.85/286,208.80
  6. Step 6: Final answer
    x = 219,268.88

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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.