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Finding the Fourth Proportional to 312,405.32, 431,119.58 and 169,165.49

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Solution

The fourth proportional to 312,405.32, 431,119.58 and 169,165.49 is: 233,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,405.32 : 431,119.58 = 169,165.49 : x
  2. Step 2: Convert to fraction form
    312,405.32/431,119.58 = 169,165.49/x
  3. Step 3: Cross multiply
    312,405.32x = 431,119.58 × 169,165.49
  4. Step 4: Simplify right side
    312,405.32x = 72,930,551,997.87
  5. Step 5: Solve for x
    x = 72,930,551,997.87/312,405.32
  6. Step 6: Final answer
    x = 233,448.49

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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.