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Finding the Fourth Proportional to 289,687.32, 399,773.27 and 160,631.24

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Solution

The fourth proportional to 289,687.32, 399,773.27 and 160,631.24 is: 221,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,687.32 : 399,773.27 = 160,631.24 : x
  2. Step 2: Convert to fraction form
    289,687.32/399,773.27 = 160,631.24/x
  3. Step 3: Cross multiply
    289,687.32x = 399,773.27 × 160,631.24
  4. Step 4: Simplify right side
    289,687.32x = 64,216,074,481.67
  5. Step 5: Solve for x
    x = 64,216,074,481.67/289,687.32
  6. Step 6: Final answer
    x = 221,673.75

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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.