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Finding the Fourth Proportional to 289,091.32, 398,962.74 and 161,765.80

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Solution

The fourth proportional to 289,091.32, 398,962.74 and 161,765.80 is: 223,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,091.32 : 398,962.74 = 161,765.80 : x
  2. Step 2: Convert to fraction form
    289,091.32/398,962.74 = 161,765.80/x
  3. Step 3: Cross multiply
    289,091.32x = 398,962.74 × 161,765.80
  4. Step 4: Simplify right side
    289,091.32x = 64,538,526,806.29
  5. Step 5: Solve for x
    x = 64,538,526,806.29/289,091.32
  6. Step 6: Final answer
    x = 223,246.16

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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.