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Finding the Fourth Proportional to 299,768.76, 449,683.20 and 86,541.93

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Solution

The fourth proportional to 299,768.76, 449,683.20 and 86,541.93 is: 129,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,768.76 : 449,683.20 = 86,541.93 : x
  2. Step 2: Convert to fraction form
    299,768.76/449,683.20 = 86,541.93/x
  3. Step 3: Cross multiply
    299,768.76x = 449,683.20 × 86,541.93
  4. Step 4: Simplify right side
    299,768.76x = 38,916,452,016.58
  5. Step 5: Solve for x
    x = 38,916,452,016.58/299,768.76
  6. Step 6: Final answer
    x = 129,821.57

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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.