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Finding the Fourth Proportional to 299,291.32, 449,114.23 and 280,355.66

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Solution

The fourth proportional to 299,291.32, 449,114.23 and 280,355.66 is: 420,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,291.32 : 449,114.23 = 280,355.66 : x
  2. Step 2: Convert to fraction form
    299,291.32/449,114.23 = 280,355.66/x
  3. Step 3: Cross multiply
    299,291.32x = 449,114.23 × 280,355.66
  4. Step 4: Simplify right side
    299,291.32x = 125,911,714,121.47
  5. Step 5: Solve for x
    x = 125,911,714,121.47/299,291.32
  6. Step 6: Final answer
    x = 420,699.53

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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.