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Finding the Fourth Proportional to 419,134.72, 578,418.96 and 228,160.84

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Solution

The fourth proportional to 419,134.72, 578,418.96 and 228,160.84 is: 314,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,134.72 : 578,418.96 = 228,160.84 : x
  2. Step 2: Convert to fraction form
    419,134.72/578,418.96 = 228,160.84/x
  3. Step 3: Cross multiply
    419,134.72x = 578,418.96 × 228,160.84
  4. Step 4: Simplify right side
    419,134.72x = 131,972,555,785.53
  5. Step 5: Solve for x
    x = 131,972,555,785.53/419,134.72
  6. Step 6: Final answer
    x = 314,869.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.