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Finding the Fourth Proportional to 380,061, 570,172.86 and 140,175.72

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Solution

The fourth proportional to 380,061, 570,172.86 and 140,175.72 is: 210,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,061 : 570,172.86 = 140,175.72 : x
  2. Step 2: Convert to fraction form
    380,061/570,172.86 = 140,175.72/x
  3. Step 3: Cross multiply
    380,061x = 570,172.86 × 140,175.72
  4. Step 4: Simplify right side
    380,061x = 79,924,391,174.96
  5. Step 5: Solve for x
    x = 79,924,391,174.96/380,061
  6. Step 6: Final answer
    x = 210,293.59

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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.