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Finding the Fourth Proportional to 220,649.09, 304,471.37 and 123,830.74

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Solution

The fourth proportional to 220,649.09, 304,471.37 and 123,830.74 is: 170,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,649.09 : 304,471.37 = 123,830.74 : x
  2. Step 2: Convert to fraction form
    220,649.09/304,471.37 = 123,830.74/x
  3. Step 3: Cross multiply
    220,649.09x = 304,471.37 × 123,830.74
  4. Step 4: Simplify right side
    220,649.09x = 37,702,913,843.13
  5. Step 5: Solve for x
    x = 37,702,913,843.13/220,649.09
  6. Step 6: Final answer
    x = 170,872.74

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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.