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Finding the Fourth Proportional to 288,844.86, 398,616.75 and 161,520.15

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Solution

The fourth proportional to 288,844.86, 398,616.75 and 161,520.15 is: 222,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,844.86 : 398,616.75 = 161,520.15 : x
  2. Step 2: Convert to fraction form
    288,844.86/398,616.75 = 161,520.15/x
  3. Step 3: Cross multiply
    288,844.86x = 398,616.75 × 161,520.15
  4. Step 4: Simplify right side
    288,844.86x = 64,384,637,252.51
  5. Step 5: Solve for x
    x = 64,384,637,252.51/288,844.86
  6. Step 6: Final answer
    x = 222,903.87

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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.