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Finding the Fourth Proportional to 442,378.26, 663,530.54 and 228,916.13

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Solution

The fourth proportional to 442,378.26, 663,530.54 and 228,916.13 is: 343,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,378.26 : 663,530.54 = 228,916.13 : x
  2. Step 2: Convert to fraction form
    442,378.26/663,530.54 = 228,916.13/x
  3. Step 3: Cross multiply
    442,378.26x = 663,530.54 × 228,916.13
  4. Step 4: Simplify right side
    442,378.26x = 151,892,838,891.38
  5. Step 5: Solve for x
    x = 151,892,838,891.38/442,378.26
  6. Step 6: Final answer
    x = 343,355.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.