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Finding the Fourth Proportional to 299,405.70, 448,452.45 and 260,039.70

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Solution

The fourth proportional to 299,405.70, 448,452.45 and 260,039.70 is: 389,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,405.70 : 448,452.45 = 260,039.70 : x
  2. Step 2: Convert to fraction form
    299,405.70/448,452.45 = 260,039.70/x
  3. Step 3: Cross multiply
    299,405.70x = 448,452.45 × 260,039.70
  4. Step 4: Simplify right side
    299,405.70x = 116,615,440,562.27
  5. Step 5: Solve for x
    x = 116,615,440,562.27/299,405.70
  6. Step 6: Final answer
    x = 389,489.71

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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.