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Finding the Fourth Proportional to 363,807.20, 502,069.07 and 202,662.21

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Solution

The fourth proportional to 363,807.20, 502,069.07 and 202,662.21 is: 279,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,807.20 : 502,069.07 = 202,662.21 : x
  2. Step 2: Convert to fraction form
    363,807.20/502,069.07 = 202,662.21/x
  3. Step 3: Cross multiply
    363,807.20x = 502,069.07 × 202,662.21
  4. Step 4: Simplify right side
    363,807.20x = 101,750,426,285.53
  5. Step 5: Solve for x
    x = 101,750,426,285.53/363,807.20
  6. Step 6: Final answer
    x = 279,682.28

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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.