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Finding the Fourth Proportional to 311,034.36, 465,988.32 and 142,695.48

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Solution

The fourth proportional to 311,034.36, 465,988.32 and 142,695.48 is: 213,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,034.36 : 465,988.32 = 142,695.48 : x
  2. Step 2: Convert to fraction form
    311,034.36/465,988.32 = 142,695.48/x
  3. Step 3: Cross multiply
    311,034.36x = 465,988.32 × 142,695.48
  4. Step 4: Simplify right side
    311,034.36x = 66,494,426,996.79
  5. Step 5: Solve for x
    x = 66,494,426,996.79/311,034.36
  6. Step 6: Final answer
    x = 213,784.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.