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Finding the Fourth Proportional to 313,495.66, 432,803.34 and 206,377.09

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Solution

The fourth proportional to 313,495.66, 432,803.34 and 206,377.09 is: 284,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,495.66 : 432,803.34 = 206,377.09 : x
  2. Step 2: Convert to fraction form
    313,495.66/432,803.34 = 206,377.09/x
  3. Step 3: Cross multiply
    313,495.66x = 432,803.34 × 206,377.09
  4. Step 4: Simplify right side
    313,495.66x = 89,320,693,851.48
  5. Step 5: Solve for x
    x = 89,320,693,851.48/313,495.66
  6. Step 6: Final answer
    x = 284,918.44

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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.