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Finding the Fourth Proportional to 419,952.87, 579,537.72 and 228,969.45

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Solution

The fourth proportional to 419,952.87, 579,537.72 and 228,969.45 is: 315,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,952.87 : 579,537.72 = 228,969.45 : x
  2. Step 2: Convert to fraction form
    419,952.87/579,537.72 = 228,969.45/x
  3. Step 3: Cross multiply
    419,952.87x = 579,537.72 × 228,969.45
  4. Step 4: Simplify right side
    419,952.87x = 132,696,433,002.65
  5. Step 5: Solve for x
    x = 132,696,433,002.65/419,952.87
  6. Step 6: Final answer
    x = 315,979.35

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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.