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Finding the Fourth Proportional to 362,454, 500,186.52 and 203,478

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Solution

The fourth proportional to 362,454, 500,186.52 and 203,478 is: 280,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,454 : 500,186.52 = 203,478 : x
  2. Step 2: Convert to fraction form
    362,454/500,186.52 = 203,478/x
  3. Step 3: Cross multiply
    362,454x = 500,186.52 × 203,478
  4. Step 4: Simplify right side
    362,454x = 101,776,952,716.56
  5. Step 5: Solve for x
    x = 101,776,952,716.56/362,454
  6. Step 6: Final answer
    x = 280,799.64

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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.