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Finding the Fourth Proportional to 286,791.98, 429,800.46 and 109,202.11

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Solution

The fourth proportional to 286,791.98, 429,800.46 and 109,202.11 is: 163,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,791.98 : 429,800.46 = 109,202.11 : x
  2. Step 2: Convert to fraction form
    286,791.98/429,800.46 = 109,202.11/x
  3. Step 3: Cross multiply
    286,791.98x = 429,800.46 × 109,202.11
  4. Step 4: Simplify right side
    286,791.98x = 46,935,117,119.78
  5. Step 5: Solve for x
    x = 46,935,117,119.78/286,791.98
  6. Step 6: Final answer
    x = 163,655.61

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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.