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Finding the Fourth Proportional to 296,483.26, 444,737.20 and 86,121.20

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Solution

The fourth proportional to 296,483.26, 444,737.20 and 86,121.20 is: 129,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,483.26 : 444,737.20 = 86,121.20 : x
  2. Step 2: Convert to fraction form
    296,483.26/444,737.20 = 86,121.20/x
  3. Step 3: Cross multiply
    296,483.26x = 444,737.20 × 86,121.20
  4. Step 4: Simplify right side
    296,483.26x = 38,301,301,348.64
  5. Step 5: Solve for x
    x = 38,301,301,348.64/296,483.26
  6. Step 6: Final answer
    x = 129,185.38

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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.