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Finding the Fourth Proportional to 266,114.80, 399,301.80 and 202,913.20

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Solution

The fourth proportional to 266,114.80, 399,301.80 and 202,913.20 is: 304,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,114.80 : 399,301.80 = 202,913.20 : x
  2. Step 2: Convert to fraction form
    266,114.80/399,301.80 = 202,913.20/x
  3. Step 3: Cross multiply
    266,114.80x = 399,301.80 × 202,913.20
  4. Step 4: Simplify right side
    266,114.80x = 81,023,606,003.76
  5. Step 5: Solve for x
    x = 81,023,606,003.76/266,114.80
  6. Step 6: Final answer
    x = 304,468.62

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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.