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Finding the Fourth Proportional to 299,559.60, 449,214.44 and 121,946

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Solution

The fourth proportional to 299,559.60, 449,214.44 and 121,946 is: 182,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,559.60 : 449,214.44 = 121,946 : x
  2. Step 2: Convert to fraction form
    299,559.60/449,214.44 = 121,946/x
  3. Step 3: Cross multiply
    299,559.60x = 449,214.44 × 121,946
  4. Step 4: Simplify right side
    299,559.60x = 54,779,904,100.24
  5. Step 5: Solve for x
    x = 54,779,904,100.24/299,559.60
  6. Step 6: Final answer
    x = 182,868.13

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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.