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Finding the Fourth Proportional to 380,174.50, 570,261.75 and 99,691.75

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Solution

The fourth proportional to 380,174.50, 570,261.75 and 99,691.75 is: 149,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,174.50 : 570,261.75 = 99,691.75 : x
  2. Step 2: Convert to fraction form
    380,174.50/570,261.75 = 99,691.75/x
  3. Step 3: Cross multiply
    380,174.50x = 570,261.75 × 99,691.75
  4. Step 4: Simplify right side
    380,174.50x = 56,850,391,815.56
  5. Step 5: Solve for x
    x = 56,850,391,815.56/380,174.50
  6. Step 6: Final answer
    x = 149,537.63

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1.5x scale

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.