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Finding the Fourth Proportional to 289,174.62, 399,056.84 and 160,100.72

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Solution

The fourth proportional to 289,174.62, 399,056.84 and 160,100.72 is: 220,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,174.62 : 399,056.84 = 160,100.72 : x
  2. Step 2: Convert to fraction form
    289,174.62/399,056.84 = 160,100.72/x
  3. Step 3: Cross multiply
    289,174.62x = 399,056.84 × 160,100.72
  4. Step 4: Simplify right side
    289,174.62x = 63,889,287,404.92
  5. Step 5: Solve for x
    x = 63,889,287,404.92/289,174.62
  6. Step 6: Final answer
    x = 220,936.70

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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.