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Finding the Fourth Proportional to 286,443.17, 429,758.03 and 136,664.09

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Solution

The fourth proportional to 286,443.17, 429,758.03 and 136,664.09 is: 205,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,443.17 : 429,758.03 = 136,664.09 : x
  2. Step 2: Convert to fraction form
    286,443.17/429,758.03 = 136,664.09/x
  3. Step 3: Cross multiply
    286,443.17x = 429,758.03 × 136,664.09
  4. Step 4: Simplify right side
    286,443.17x = 58,732,488,301.54
  5. Step 5: Solve for x
    x = 58,732,488,301.54/286,443.17
  6. Step 6: Final answer
    x = 205,040.63

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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.