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Finding the Fourth Proportional to 389,838.65, 537,981.82 and 228,696.44

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Solution

The fourth proportional to 389,838.65, 537,981.82 and 228,696.44 is: 315,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,838.65 : 537,981.82 = 228,696.44 : x
  2. Step 2: Convert to fraction form
    389,838.65/537,981.82 = 228,696.44/x
  3. Step 3: Cross multiply
    389,838.65x = 537,981.82 × 228,696.44
  4. Step 4: Simplify right side
    389,838.65x = 123,034,523,757.07
  5. Step 5: Solve for x
    x = 123,034,523,757.07/389,838.65
  6. Step 6: Final answer
    x = 315,603.71

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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.