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Finding the Fourth Proportional to 399,275.12, 550,991.10 and 217,978.22

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Solution

The fourth proportional to 399,275.12, 550,991.10 and 217,978.22 is: 300,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,275.12 : 550,991.10 = 217,978.22 : x
  2. Step 2: Convert to fraction form
    399,275.12/550,991.10 = 217,978.22/x
  3. Step 3: Cross multiply
    399,275.12x = 550,991.10 × 217,978.22
  4. Step 4: Simplify right side
    399,275.12x = 120,104,059,213.84
  5. Step 5: Solve for x
    x = 120,104,059,213.84/399,275.12
  6. Step 6: Final answer
    x = 300,805.27

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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.