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Finding the Fourth Proportional to 287,709.60, 397,046.16 and 160,381.92

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Solution

The fourth proportional to 287,709.60, 397,046.16 and 160,381.92 is: 221,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,709.60 : 397,046.16 = 160,381.92 : x
  2. Step 2: Convert to fraction form
    287,709.60/397,046.16 = 160,381.92/x
  3. Step 3: Cross multiply
    287,709.60x = 397,046.16 × 160,381.92
  4. Step 4: Simplify right side
    287,709.60x = 63,679,025,469.43
  5. Step 5: Solve for x
    x = 63,679,025,469.43/287,709.60
  6. Step 6: Final answer
    x = 221,330.90

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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.