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Finding the Fourth Proportional to 312,496.56, 431,245.94 and 169,256.63

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Solution

The fourth proportional to 312,496.56, 431,245.94 and 169,256.63 is: 233,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,496.56 : 431,245.94 = 169,256.63 : x
  2. Step 2: Convert to fraction form
    312,496.56/431,245.94 = 169,256.63/x
  3. Step 3: Cross multiply
    312,496.56x = 431,245.94 × 169,256.63
  4. Step 4: Simplify right side
    312,496.56x = 72,991,231,503.07
  5. Step 5: Solve for x
    x = 72,991,231,503.07/312,496.56
  6. Step 6: Final answer
    x = 233,574.51

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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.