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Finding the Fourth Proportional to 364,399.36, 502,872 and 203,264.80

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Solution

The fourth proportional to 364,399.36, 502,872 and 203,264.80 is: 280,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,399.36 : 502,872 = 203,264.80 : x
  2. Step 2: Convert to fraction form
    364,399.36/502,872 = 203,264.80/x
  3. Step 3: Cross multiply
    364,399.36x = 502,872 × 203,264.80
  4. Step 4: Simplify right side
    364,399.36x = 102,216,176,505.60
  5. Step 5: Solve for x
    x = 102,216,176,505.60/364,399.36
  6. Step 6: Final answer
    x = 280,505.92

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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.