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Finding the Fourth Proportional to 313,779.60, 432,796.84 and 206,315.28

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Solution

The fourth proportional to 313,779.60, 432,796.84 and 206,315.28 is: 284,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,779.60 : 432,796.84 = 206,315.28 : x
  2. Step 2: Convert to fraction form
    313,779.60/432,796.84 = 206,315.28/x
  3. Step 3: Cross multiply
    313,779.60x = 432,796.84 × 206,315.28
  4. Step 4: Simplify right side
    313,779.60x = 89,292,601,227.72
  5. Step 5: Solve for x
    x = 89,292,601,227.72/313,779.60
  6. Step 6: Final answer
    x = 284,571.09

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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.