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Finding the Fourth Proportional to 299,561.58, 449,217.42 and 121,948.02

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Solution

The fourth proportional to 299,561.58, 449,217.42 and 121,948.02 is: 182,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,561.58 : 449,217.42 = 121,948.02 : x
  2. Step 2: Convert to fraction form
    299,561.58/449,217.42 = 121,948.02/x
  3. Step 3: Cross multiply
    299,561.58x = 449,217.42 × 121,948.02
  4. Step 4: Simplify right side
    299,561.58x = 54,781,174,918.51
  5. Step 5: Solve for x
    x = 54,781,174,918.51/299,561.58
  6. Step 6: Final answer
    x = 182,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.