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Finding the Fourth Proportional to 380,578.48, 570,933.70 and 127,883.64

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Solution

The fourth proportional to 380,578.48, 570,933.70 and 127,883.64 is: 191,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,578.48 : 570,933.70 = 127,883.64 : x
  2. Step 2: Convert to fraction form
    380,578.48/570,933.70 = 127,883.64/x
  3. Step 3: Cross multiply
    380,578.48x = 570,933.70 × 127,883.64
  4. Step 4: Simplify right side
    380,578.48x = 73,013,079,754.67
  5. Step 5: Solve for x
    x = 73,013,079,754.67/380,578.48
  6. Step 6: Final answer
    x = 191,847.63

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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.