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Finding the Fourth Proportional to 419,915.61, 629,905.01 and 120,393.81

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Solution

The fourth proportional to 419,915.61, 629,905.01 and 120,393.81 is: 180,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,915.61 : 629,905.01 = 120,393.81 : x
  2. Step 2: Convert to fraction form
    419,915.61/629,905.01 = 120,393.81/x
  3. Step 3: Cross multiply
    419,915.61x = 629,905.01 × 120,393.81
  4. Step 4: Simplify right side
    419,915.61x = 75,836,663,490.02
  5. Step 5: Solve for x
    x = 75,836,663,490.02/419,915.61
  6. Step 6: Final answer
    x = 180,599.77

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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.