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Finding the Fourth Proportional to 419,605.12, 579,061.68 and 228,618.48

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Solution

The fourth proportional to 419,605.12, 579,061.68 and 228,618.48 is: 315,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,605.12 : 579,061.68 = 228,618.48 : x
  2. Step 2: Convert to fraction form
    419,605.12/579,061.68 = 228,618.48/x
  3. Step 3: Cross multiply
    419,605.12x = 579,061.68 × 228,618.48
  4. Step 4: Simplify right side
    419,605.12x = 132,384,201,107.85
  5. Step 5: Solve for x
    x = 132,384,201,107.85/419,605.12
  6. Step 6: Final answer
    x = 315,497.11

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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.