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Finding the Fourth Proportional to 299,983.02, 413,980.99 and 203,216.47

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Solution

The fourth proportional to 299,983.02, 413,980.99 and 203,216.47 is: 280,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,983.02 : 413,980.99 = 203,216.47 : x
  2. Step 2: Convert to fraction form
    299,983.02/413,980.99 = 203,216.47/x
  3. Step 3: Cross multiply
    299,983.02x = 413,980.99 × 203,216.47
  4. Step 4: Simplify right side
    299,983.02x = 84,127,755,434.91
  5. Step 5: Solve for x
    x = 84,127,755,434.91/299,983.02
  6. Step 6: Final answer
    x = 280,441.72

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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.