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Finding the Fourth Proportional to 286,272.62, 429,463.47 and 115,507.88

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Solution

The fourth proportional to 286,272.62, 429,463.47 and 115,507.88 is: 173,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,272.62 : 429,463.47 = 115,507.88 : x
  2. Step 2: Convert to fraction form
    286,272.62/429,463.47 = 115,507.88/x
  3. Step 3: Cross multiply
    286,272.62x = 429,463.47 × 115,507.88
  4. Step 4: Simplify right side
    286,272.62x = 49,606,414,957.14
  5. Step 5: Solve for x
    x = 49,606,414,957.14/286,272.62
  6. Step 6: Final answer
    x = 173,283.83

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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.