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Finding the Fourth Proportional to 289,877.92, 400,052.04 and 160,857.72

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Solution

The fourth proportional to 289,877.92, 400,052.04 and 160,857.72 is: 221,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,877.92 : 400,052.04 = 160,857.72 : x
  2. Step 2: Convert to fraction form
    289,877.92/400,052.04 = 160,857.72/x
  3. Step 3: Cross multiply
    289,877.92x = 400,052.04 × 160,857.72
  4. Step 4: Simplify right side
    289,877.92x = 64,351,459,035.75
  5. Step 5: Solve for x
    x = 64,351,459,035.75/289,877.92
  6. Step 6: Final answer
    x = 221,995.04

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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.