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Finding the Fourth Proportional to 289,047.92, 398,926.36 and 161,732.16

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Solution

The fourth proportional to 289,047.92, 398,926.36 and 161,732.16 is: 223,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,047.92 : 398,926.36 = 161,732.16 : x
  2. Step 2: Convert to fraction form
    289,047.92/398,926.36 = 161,732.16/x
  3. Step 3: Cross multiply
    289,047.92x = 398,926.36 × 161,732.16
  4. Step 4: Simplify right side
    289,047.92x = 64,519,221,883.74
  5. Step 5: Solve for x
    x = 64,519,221,883.74/289,047.92
  6. Step 6: Final answer
    x = 223,212.89

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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.