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Finding the Fourth Proportional to 288,565.84, 398,213.22 and 161,242.48

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Solution

The fourth proportional to 288,565.84, 398,213.22 and 161,242.48 is: 222,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,565.84 : 398,213.22 = 161,242.48 : x
  2. Step 2: Convert to fraction form
    288,565.84/398,213.22 = 161,242.48/x
  3. Step 3: Cross multiply
    288,565.84x = 398,213.22 × 161,242.48
  4. Step 4: Simplify right side
    288,565.84x = 64,208,887,161.59
  5. Step 5: Solve for x
    x = 64,208,887,161.59/288,565.84
  6. Step 6: Final answer
    x = 222,510.35

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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.