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Finding the Fourth Proportional to 380,477.62, 570,754.17 and 140,654.35

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Solution

The fourth proportional to 380,477.62, 570,754.17 and 140,654.35 is: 210,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,477.62 : 570,754.17 = 140,654.35 : x
  2. Step 2: Convert to fraction form
    380,477.62/570,754.17 = 140,654.35/x
  3. Step 3: Cross multiply
    380,477.62x = 570,754.17 × 140,654.35
  4. Step 4: Simplify right side
    380,477.62x = 80,279,056,791.14
  5. Step 5: Solve for x
    x = 80,279,056,791.14/380,477.62
  6. Step 6: Final answer
    x = 210,995.48

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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.