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Finding the Fourth Proportional to 379,463.82, 523,715.67 and 228,557.58

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Solution

The fourth proportional to 379,463.82, 523,715.67 and 228,557.58 is: 315,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,463.82 : 523,715.67 = 228,557.58 : x
  2. Step 2: Convert to fraction form
    379,463.82/523,715.67 = 228,557.58/x
  3. Step 3: Cross multiply
    379,463.82x = 523,715.67 × 228,557.58
  4. Step 4: Simplify right side
    379,463.82x = 119,699,186,143.28
  5. Step 5: Solve for x
    x = 119,699,186,143.28/379,463.82
  6. Step 6: Final answer
    x = 315,442.95

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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.