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Finding the Fourth Proportional to 379,153.78, 523,245.13 and 224,237.87

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Solution

The fourth proportional to 379,153.78, 523,245.13 and 224,237.87 is: 309,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,153.78 : 523,245.13 = 224,237.87 : x
  2. Step 2: Convert to fraction form
    379,153.78/523,245.13 = 224,237.87/x
  3. Step 3: Cross multiply
    379,153.78x = 523,245.13 × 224,237.87
  4. Step 4: Simplify right side
    379,153.78x = 117,331,373,439.07
  5. Step 5: Solve for x
    x = 117,331,373,439.07/379,153.78
  6. Step 6: Final answer
    x = 309,455.90

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1.5x scale

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.