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Finding the Fourth Proportional to 288,551.04, 398,172 and 161,223.84

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Solution

The fourth proportional to 288,551.04, 398,172 and 161,223.84 is: 222,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,551.04 : 398,172 = 161,223.84 : x
  2. Step 2: Convert to fraction form
    288,551.04/398,172 = 161,223.84/x
  3. Step 3: Cross multiply
    288,551.04x = 398,172 × 161,223.84
  4. Step 4: Simplify right side
    288,551.04x = 64,194,818,820.48
  5. Step 5: Solve for x
    x = 64,194,818,820.48/288,551.04
  6. Step 6: Final answer
    x = 222,473.01

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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.