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Finding the Fourth Proportional to 419,506.91, 578,916.55 and 228,520.29

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Solution

The fourth proportional to 419,506.91, 578,916.55 and 228,520.29 is: 315,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,506.91 : 578,916.55 = 228,520.29 : x
  2. Step 2: Convert to fraction form
    419,506.91/578,916.55 = 228,520.29/x
  3. Step 3: Cross multiply
    419,506.91x = 578,916.55 × 228,520.29
  4. Step 4: Simplify right side
    419,506.91x = 132,294,177,891.80
  5. Step 5: Solve for x
    x = 132,294,177,891.80/419,506.91
  6. Step 6: Final answer
    x = 315,356.37

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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.