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Finding the Fourth Proportional to 286,497.12, 429,091.30 and 136,843.28

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Solution

The fourth proportional to 286,497.12, 429,091.30 and 136,843.28 is: 204,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,497.12 : 429,091.30 = 136,843.28 : x
  2. Step 2: Convert to fraction form
    286,497.12/429,091.30 = 136,843.28/x
  3. Step 3: Cross multiply
    286,497.12x = 429,091.30 × 136,843.28
  4. Step 4: Simplify right side
    286,497.12x = 58,718,260,911.46
  5. Step 5: Solve for x
    x = 58,718,260,911.46/286,497.12
  6. Step 6: Final answer
    x = 204,952.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.