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Finding the Fourth Proportional to 299,986.71, 449,980.10 and 120,153.81

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Solution

The fourth proportional to 299,986.71, 449,980.10 and 120,153.81 is: 180,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,986.71 : 449,980.10 = 120,153.81 : x
  2. Step 2: Convert to fraction form
    299,986.71/449,980.10 = 120,153.81/x
  3. Step 3: Cross multiply
    299,986.71x = 449,980.10 × 120,153.81
  4. Step 4: Simplify right side
    299,986.71x = 54,066,822,838.41
  5. Step 5: Solve for x
    x = 54,066,822,838.41/299,986.71
  6. Step 6: Final answer
    x = 180,230.73

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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.