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Finding the Fourth Proportional to 313,040.49, 431,992.81 and 169,798.47

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Solution

The fourth proportional to 313,040.49, 431,992.81 and 169,798.47 is: 234,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,040.49 : 431,992.81 = 169,798.47 : x
  2. Step 2: Convert to fraction form
    313,040.49/431,992.81 = 169,798.47/x
  3. Step 3: Cross multiply
    313,040.49x = 431,992.81 × 169,798.47
  4. Step 4: Simplify right side
    313,040.49x = 73,351,718,189.00
  5. Step 5: Solve for x
    x = 73,351,718,189.00/313,040.49
  6. Step 6: Final answer
    x = 234,320.23

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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.