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Finding the Fourth Proportional to 419,835.88, 579,361.98 and 228,853

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Solution

The fourth proportional to 419,835.88, 579,361.98 and 228,853 is: 315,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,835.88 : 579,361.98 = 228,853 : x
  2. Step 2: Convert to fraction form
    419,835.88/579,361.98 = 228,853/x
  3. Step 3: Cross multiply
    419,835.88x = 579,361.98 × 228,853
  4. Step 4: Simplify right side
    419,835.88x = 132,588,727,208.94
  5. Step 5: Solve for x
    x = 132,588,727,208.94/419,835.88
  6. Step 6: Final answer
    x = 315,810.85

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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.