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Finding the Fourth Proportional to 220,389, 304,136.82 and 130,965

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Solution

The fourth proportional to 220,389, 304,136.82 and 130,965 is: 180,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,389 : 304,136.82 = 130,965 : x
  2. Step 2: Convert to fraction form
    220,389/304,136.82 = 130,965/x
  3. Step 3: Cross multiply
    220,389x = 304,136.82 × 130,965
  4. Step 4: Simplify right side
    220,389x = 39,831,278,631.30
  5. Step 5: Solve for x
    x = 39,831,278,631.30/220,389
  6. Step 6: Final answer
    x = 180,731.70

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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.