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Finding the Fourth Proportional to 289,500.75, 399,505.28 and 160,436.54

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Solution

The fourth proportional to 289,500.75, 399,505.28 and 160,436.54 is: 221,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,500.75 : 399,505.28 = 160,436.54 : x
  2. Step 2: Convert to fraction form
    289,500.75/399,505.28 = 160,436.54/x
  3. Step 3: Cross multiply
    289,500.75x = 399,505.28 × 160,436.54
  4. Step 4: Simplify right side
    289,500.75x = 64,095,244,834.93
  5. Step 5: Solve for x
    x = 64,095,244,834.93/289,500.75
  6. Step 6: Final answer
    x = 221,399.24

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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.