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Finding the Fourth Proportional to 312,381, 431,163.54 and 178,322.76

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Solution

The fourth proportional to 312,381, 431,163.54 and 178,322.76 is: 246,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,381 : 431,163.54 = 178,322.76 : x
  2. Step 2: Convert to fraction form
    312,381/431,163.54 = 178,322.76/x
  3. Step 3: Cross multiply
    312,381x = 431,163.54 × 178,322.76
  4. Step 4: Simplify right side
    312,381x = 76,886,272,464.17
  5. Step 5: Solve for x
    x = 76,886,272,464.17/312,381
  6. Step 6: Final answer
    x = 246,129.80

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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.