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Finding the Fourth Proportional to 379,667.28, 523,946.44 and 257,197.11

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Solution

The fourth proportional to 379,667.28, 523,946.44 and 257,197.11 is: 354,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,667.28 : 523,946.44 = 257,197.11 : x
  2. Step 2: Convert to fraction form
    379,667.28/523,946.44 = 257,197.11/x
  3. Step 3: Cross multiply
    379,667.28x = 523,946.44 × 257,197.11
  4. Step 4: Simplify right side
    379,667.28x = 134,757,509,644.83
  5. Step 5: Solve for x
    x = 134,757,509,644.83/379,667.28
  6. Step 6: Final answer
    x = 354,935.80

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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.