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Finding the Fourth Proportional to 313,010.69, 431,960.64 and 192,091.46

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Solution

The fourth proportional to 313,010.69, 431,960.64 and 192,091.46 is: 265,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,010.69 : 431,960.64 = 192,091.46 : x
  2. Step 2: Convert to fraction form
    313,010.69/431,960.64 = 192,091.46/x
  3. Step 3: Cross multiply
    313,010.69x = 431,960.64 × 192,091.46
  4. Step 4: Simplify right side
    313,010.69x = 82,975,950,000.13
  5. Step 5: Solve for x
    x = 82,975,950,000.13/313,010.69
  6. Step 6: Final answer
    x = 265,089.83

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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.