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Finding the Fourth Proportional to 311,665.57, 430,072.69 and 175,732.89

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Solution

The fourth proportional to 311,665.57, 430,072.69 and 175,732.89 is: 242,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,665.57 : 430,072.69 = 175,732.89 : x
  2. Step 2: Convert to fraction form
    311,665.57/430,072.69 = 175,732.89/x
  3. Step 3: Cross multiply
    311,665.57x = 430,072.69 × 175,732.89
  4. Step 4: Simplify right side
    311,665.57x = 75,577,917,420.33
  5. Step 5: Solve for x
    x = 75,577,917,420.33/311,665.57
  6. Step 6: Final answer
    x = 242,496.84

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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.