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Finding the Fourth Proportional to 456,147, 629,502.30 and 254,943

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Solution

The fourth proportional to 456,147, 629,502.30 and 254,943 is: 351,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,147 : 629,502.30 = 254,943 : x
  2. Step 2: Convert to fraction form
    456,147/629,502.30 = 254,943/x
  3. Step 3: Cross multiply
    456,147x = 629,502.30 × 254,943
  4. Step 4: Simplify right side
    456,147x = 160,487,204,868.90
  5. Step 5: Solve for x
    x = 160,487,204,868.90/456,147
  6. Step 6: Final answer
    x = 351,832.21

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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.