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Finding the Fourth Proportional to 379,151.78, 523,242.37 and 224,235.87

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Solution

The fourth proportional to 379,151.78, 523,242.37 and 224,235.87 is: 309,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,151.78 : 523,242.37 = 224,235.87 : x
  2. Step 2: Convert to fraction form
    379,151.78/523,242.37 = 224,235.87/x
  3. Step 3: Cross multiply
    379,151.78x = 523,242.37 × 224,235.87
  4. Step 4: Simplify right side
    379,151.78x = 117,329,708,057.81
  5. Step 5: Solve for x
    x = 117,329,708,057.81/379,151.78
  6. Step 6: Final answer
    x = 309,453.14

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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.