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Finding the Fourth Proportional to 289,093.32, 398,965.50 and 161,767.80

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Solution

The fourth proportional to 289,093.32, 398,965.50 and 161,767.80 is: 223,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,093.32 : 398,965.50 = 161,767.80 : x
  2. Step 2: Convert to fraction form
    289,093.32/398,965.50 = 161,767.80/x
  3. Step 3: Cross multiply
    289,093.32x = 398,965.50 × 161,767.80
  4. Step 4: Simplify right side
    289,093.32x = 64,539,771,210.90
  5. Step 5: Solve for x
    x = 64,539,771,210.90/289,093.32
  6. Step 6: Final answer
    x = 223,248.92

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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.