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Finding the Fourth Proportional to 219,986, 303,659.40 and 130,562

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Solution

The fourth proportional to 219,986, 303,659.40 and 130,562 is: 180,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,986 : 303,659.40 = 130,562 : x
  2. Step 2: Convert to fraction form
    219,986/303,659.40 = 130,562/x
  3. Step 3: Cross multiply
    219,986x = 303,659.40 × 130,562
  4. Step 4: Simplify right side
    219,986x = 39,646,378,582.80
  5. Step 5: Solve for x
    x = 39,646,378,582.80/219,986
  6. Step 6: Final answer
    x = 180,222.28

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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.