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Finding the Fourth Proportional to 299,485.18, 449,196.99 and 99,784

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Solution

The fourth proportional to 299,485.18, 449,196.99 and 99,784 is: 149,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,485.18 : 449,196.99 = 99,784 : x
  2. Step 2: Convert to fraction form
    299,485.18/449,196.99 = 99,784/x
  3. Step 3: Cross multiply
    299,485.18x = 449,196.99 × 99,784
  4. Step 4: Simplify right side
    299,485.18x = 44,822,672,450.16
  5. Step 5: Solve for x
    x = 44,822,672,450.16/299,485.18
  6. Step 6: Final answer
    x = 149,665.74

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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.