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Finding the Fourth Proportional to 312,106.79, 467,963.35 and 171,963.83

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Solution

The fourth proportional to 312,106.79, 467,963.35 and 171,963.83 is: 257,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,106.79 : 467,963.35 = 171,963.83 : x
  2. Step 2: Convert to fraction form
    312,106.79/467,963.35 = 171,963.83/x
  3. Step 3: Cross multiply
    312,106.79x = 467,963.35 × 171,963.83
  4. Step 4: Simplify right side
    312,106.79x = 80,472,769,965.63
  5. Step 5: Solve for x
    x = 80,472,769,965.63/312,106.79
  6. Step 6: Final answer
    x = 257,837.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.