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Finding the Fourth Proportional to 289,092.56, 398,947.80 and 161,792.72

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Solution

The fourth proportional to 289,092.56, 398,947.80 and 161,792.72 is: 223,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,092.56 : 398,947.80 = 161,792.72 : x
  2. Step 2: Convert to fraction form
    289,092.56/398,947.80 = 161,792.72/x
  3. Step 3: Cross multiply
    289,092.56x = 398,947.80 × 161,792.72
  4. Step 4: Simplify right side
    289,092.56x = 64,546,849,700.02
  5. Step 5: Solve for x
    x = 64,546,849,700.02/289,092.56
  6. Step 6: Final answer
    x = 223,273.99

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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.