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Finding the Fourth Proportional to 380,672.62, 570,964.75 and 100,211.74

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Solution

The fourth proportional to 380,672.62, 570,964.75 and 100,211.74 is: 150,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,672.62 : 570,964.75 = 100,211.74 : x
  2. Step 2: Convert to fraction form
    380,672.62/570,964.75 = 100,211.74/x
  3. Step 3: Cross multiply
    380,672.62x = 570,964.75 × 100,211.74
  4. Step 4: Simplify right side
    380,672.62x = 57,217,371,076.17
  5. Step 5: Solve for x
    x = 57,217,371,076.17/380,672.62
  6. Step 6: Final answer
    x = 150,305.98

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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.