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Finding the Fourth Proportional to 330,796.71, 456,331.22 and 216,142.43

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Solution

The fourth proportional to 330,796.71, 456,331.22 and 216,142.43 is: 298,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,796.71 : 456,331.22 = 216,142.43 : x
  2. Step 2: Convert to fraction form
    330,796.71/456,331.22 = 216,142.43/x
  3. Step 3: Cross multiply
    330,796.71x = 456,331.22 × 216,142.43
  4. Step 4: Simplify right side
    330,796.71x = 98,632,536,223.83
  5. Step 5: Solve for x
    x = 98,632,536,223.83/330,796.71
  6. Step 6: Final answer
    x = 298,166.62

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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.