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Finding the Fourth Proportional to 312,376.24, 431,079.78 and 169,137.64

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Solution

The fourth proportional to 312,376.24, 431,079.78 and 169,137.64 is: 233,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,376.24 : 431,079.78 = 169,137.64 : x
  2. Step 2: Convert to fraction form
    312,376.24/431,079.78 = 169,137.64/x
  3. Step 3: Cross multiply
    312,376.24x = 431,079.78 × 169,137.64
  4. Step 4: Simplify right side
    312,376.24x = 72,911,816,640.92
  5. Step 5: Solve for x
    x = 72,911,816,640.92/312,376.24
  6. Step 6: Final answer
    x = 233,410.25

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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.