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Finding the Fourth Proportional to 289,163.85, 399,058.57 and 160,102.32

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Solution

The fourth proportional to 289,163.85, 399,058.57 and 160,102.32 is: 220,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,163.85 : 399,058.57 = 160,102.32 : x
  2. Step 2: Convert to fraction form
    289,163.85/399,058.57 = 160,102.32/x
  3. Step 3: Cross multiply
    289,163.85x = 399,058.57 × 160,102.32
  4. Step 4: Simplify right side
    289,163.85x = 63,890,202,872.88
  5. Step 5: Solve for x
    x = 63,890,202,872.88/289,163.85
  6. Step 6: Final answer
    x = 220,948.10

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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.