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Finding the Fourth Proportional to 313,496.29, 432,804.20 and 206,377.71

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Solution

The fourth proportional to 313,496.29, 432,804.20 and 206,377.71 is: 284,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,496.29 : 432,804.20 = 206,377.71 : x
  2. Step 2: Convert to fraction form
    313,496.29/432,804.20 = 206,377.71/x
  3. Step 3: Cross multiply
    313,496.29x = 432,804.20 × 206,377.71
  4. Step 4: Simplify right side
    313,496.29x = 89,321,137,019.48
  5. Step 5: Solve for x
    x = 89,321,137,019.48/313,496.29
  6. Step 6: Final answer
    x = 284,919.28

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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.