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Finding the Fourth Proportional to 288,364.95, 397,915.20 and 161,037.81

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Solution

The fourth proportional to 288,364.95, 397,915.20 and 161,037.81 is: 222,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,364.95 : 397,915.20 = 161,037.81 : x
  2. Step 2: Convert to fraction form
    288,364.95/397,915.20 = 161,037.81/x
  3. Step 3: Cross multiply
    288,364.95x = 397,915.20 × 161,037.81
  4. Step 4: Simplify right side
    288,364.95x = 64,079,392,373.71
  5. Step 5: Solve for x
    x = 64,079,392,373.71/288,364.95
  6. Step 6: Final answer
    x = 222,216.30

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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.