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Finding the Fourth Proportional to 313,496.79, 432,804.89 and 206,378.21

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Solution

The fourth proportional to 313,496.79, 432,804.89 and 206,378.21 is: 284,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,496.79 : 432,804.89 = 206,378.21 : x
  2. Step 2: Convert to fraction form
    313,496.79/432,804.89 = 206,378.21/x
  3. Step 3: Cross multiply
    313,496.79x = 432,804.89 × 206,378.21
  4. Step 4: Simplify right side
    313,496.79x = 89,321,495,281.53
  5. Step 5: Solve for x
    x = 89,321,495,281.53/313,496.79
  6. Step 6: Final answer
    x = 284,919.97

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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.