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Finding the Fourth Proportional to 419,369.17, 578,725.48 and 228,385.75

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Solution

The fourth proportional to 419,369.17, 578,725.48 and 228,385.75 is: 315,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,369.17 : 578,725.48 = 228,385.75 : x
  2. Step 2: Convert to fraction form
    419,369.17/578,725.48 = 228,385.75/x
  3. Step 3: Cross multiply
    419,369.17x = 578,725.48 × 228,385.75
  4. Step 4: Simplify right side
    419,369.17x = 132,172,652,793.91
  5. Step 5: Solve for x
    x = 132,172,652,793.91/419,369.17
  6. Step 6: Final answer
    x = 315,170.17

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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.