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Finding the Fourth Proportional to 288,459.84, 398,074.59 and 161,135.46

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Solution

The fourth proportional to 288,459.84, 398,074.59 and 161,135.46 is: 222,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,459.84 : 398,074.59 = 161,135.46 : x
  2. Step 2: Convert to fraction form
    288,459.84/398,074.59 = 161,135.46/x
  3. Step 3: Cross multiply
    288,459.84x = 398,074.59 × 161,135.46
  4. Step 4: Simplify right side
    288,459.84x = 64,143,932,173.96
  5. Step 5: Solve for x
    x = 64,143,932,173.96/288,459.84
  6. Step 6: Final answer
    x = 222,366.94

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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.