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Finding the Fourth Proportional to 220,285, 304,019.22 and 130,861

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Solution

The fourth proportional to 220,285, 304,019.22 and 130,861 is: 180,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,285 : 304,019.22 = 130,861 : x
  2. Step 2: Convert to fraction form
    220,285/304,019.22 = 130,861/x
  3. Step 3: Cross multiply
    220,285x = 304,019.22 × 130,861
  4. Step 4: Simplify right side
    220,285x = 39,784,259,148.42
  5. Step 5: Solve for x
    x = 39,784,259,148.42/220,285
  6. Step 6: Final answer
    x = 180,603.58

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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.