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Finding the Fourth Proportional to 307,714.31, 424,310.99 and 200,084.75

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Solution

The fourth proportional to 307,714.31, 424,310.99 and 200,084.75 is: 275,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,714.31 : 424,310.99 = 200,084.75 : x
  2. Step 2: Convert to fraction form
    307,714.31/424,310.99 = 200,084.75/x
  3. Step 3: Cross multiply
    307,714.31x = 424,310.99 × 200,084.75
  4. Step 4: Simplify right side
    307,714.31x = 84,898,158,356.40
  5. Step 5: Solve for x
    x = 84,898,158,356.40/307,714.31
  6. Step 6: Final answer
    x = 275,899.29

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1.5x scale

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.