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Finding the Fourth Proportional to 299,980.86, 449,823.66 and 122,440.20

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Solution

The fourth proportional to 299,980.86, 449,823.66 and 122,440.20 is: 183,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,980.86 : 449,823.66 = 122,440.20 : x
  2. Step 2: Convert to fraction form
    299,980.86/449,823.66 = 122,440.20/x
  3. Step 3: Cross multiply
    299,980.86x = 449,823.66 × 122,440.20
  4. Step 4: Simplify right side
    299,980.86x = 55,076,498,895.13
  5. Step 5: Solve for x
    x = 55,076,498,895.13/299,980.86
  6. Step 6: Final answer
    x = 183,600.04

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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.