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Finding the Fourth Proportional to 380,747.60, 570,520.57 and 140,530.86

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Solution

The fourth proportional to 380,747.60, 570,520.57 and 140,530.86 is: 210,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,747.60 : 570,520.57 = 140,530.86 : x
  2. Step 2: Convert to fraction form
    380,747.60/570,520.57 = 140,530.86/x
  3. Step 3: Cross multiply
    380,747.60x = 570,520.57 × 140,530.86
  4. Step 4: Simplify right side
    380,747.60x = 80,175,743,497.19
  5. Step 5: Solve for x
    x = 80,175,743,497.19/380,747.60
  6. Step 6: Final answer
    x = 210,574.52

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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.