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Finding the Fourth Proportional to 286,253.82, 395,014.84 and 158,921.21

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Solution

The fourth proportional to 286,253.82, 395,014.84 and 158,921.21 is: 219,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,253.82 : 395,014.84 = 158,921.21 : x
  2. Step 2: Convert to fraction form
    286,253.82/395,014.84 = 158,921.21/x
  3. Step 3: Cross multiply
    286,253.82x = 395,014.84 × 158,921.21
  4. Step 4: Simplify right side
    286,253.82x = 62,776,236,340.76
  5. Step 5: Solve for x
    x = 62,776,236,340.76/286,253.82
  6. Step 6: Final answer
    x = 219,302.70

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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.