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Finding the Fourth Proportional to 288,633.80, 398,315.25 and 161,309.41

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Solution

The fourth proportional to 288,633.80, 398,315.25 and 161,309.41 is: 222,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,633.80 : 398,315.25 = 161,309.41 : x
  2. Step 2: Convert to fraction form
    288,633.80/398,315.25 = 161,309.41/x
  3. Step 3: Cross multiply
    288,633.80x = 398,315.25 × 161,309.41
  4. Step 4: Simplify right side
    288,633.80x = 64,251,996,975.71
  5. Step 5: Solve for x
    x = 64,251,996,975.71/288,633.80
  6. Step 6: Final answer
    x = 222,607.32

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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.