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Finding the Fourth Proportional to 220,287, 304,021.98 and 130,863

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Solution

The fourth proportional to 220,287, 304,021.98 and 130,863 is: 180,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,287 : 304,021.98 = 130,863 : x
  2. Step 2: Convert to fraction form
    220,287/304,021.98 = 130,863/x
  3. Step 3: Cross multiply
    220,287x = 304,021.98 × 130,863
  4. Step 4: Simplify right side
    220,287x = 39,785,228,368.74
  5. Step 5: Solve for x
    x = 39,785,228,368.74/220,287
  6. Step 6: Final answer
    x = 180,606.34

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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.