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Finding the Fourth Proportional to 220,417.50, 304,201.80 and 123,648.06

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Solution

The fourth proportional to 220,417.50, 304,201.80 and 123,648.06 is: 170,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,417.50 : 304,201.80 = 123,648.06 : x
  2. Step 2: Convert to fraction form
    220,417.50/304,201.80 = 123,648.06/x
  3. Step 3: Cross multiply
    220,417.50x = 304,201.80 × 123,648.06
  4. Step 4: Simplify right side
    220,417.50x = 37,613,962,418.51
  5. Step 5: Solve for x
    x = 37,613,962,418.51/220,417.50
  6. Step 6: Final answer
    x = 170,648.71

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1.5x scale

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.