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Finding the Fourth Proportional to 813,888, 1,123,165.44 and 456,192

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Solution

The fourth proportional to 813,888, 1,123,165.44 and 456,192 is: 629,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,888 : 1,123,165.44 = 456,192 : x
  2. Step 2: Convert to fraction form
    813,888/1,123,165.44 = 456,192/x
  3. Step 3: Cross multiply
    813,888x = 1,123,165.44 × 456,192
  4. Step 4: Simplify right side
    813,888x = 512,379,088,404.48
  5. Step 5: Solve for x
    x = 512,379,088,404.48/813,888
  6. Step 6: Final answer
    x = 629,544.96

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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.