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Finding the Fourth Proportional to 312,776.70, 431,634.09 and 169,537.74

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Solution

The fourth proportional to 312,776.70, 431,634.09 and 169,537.74 is: 233,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776.70 : 431,634.09 = 169,537.74 : x
  2. Step 2: Convert to fraction form
    312,776.70/431,634.09 = 169,537.74/x
  3. Step 3: Cross multiply
    312,776.70x = 431,634.09 × 169,537.74
  4. Step 4: Simplify right side
    312,776.70x = 73,178,268,125.56
  5. Step 5: Solve for x
    x = 73,178,268,125.56/312,776.70
  6. Step 6: Final answer
    x = 233,963.30

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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.