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Finding the Fourth Proportional to 311,431, 429,775.38 and 177,295

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Solution

The fourth proportional to 311,431, 429,775.38 and 177,295 is: 244,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,431 : 429,775.38 = 177,295 : x
  2. Step 2: Convert to fraction form
    311,431/429,775.38 = 177,295/x
  3. Step 3: Cross multiply
    311,431x = 429,775.38 × 177,295
  4. Step 4: Simplify right side
    311,431x = 76,197,025,997.10
  5. Step 5: Solve for x
    x = 76,197,025,997.10/311,431
  6. Step 6: Final answer
    x = 244,667.44

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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.