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Finding the Fourth Proportional to 284,940.72, 427,411.08 and 74,596.68

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Solution

The fourth proportional to 284,940.72, 427,411.08 and 74,596.68 is: 111,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,940.72 : 427,411.08 = 74,596.68 : x
  2. Step 2: Convert to fraction form
    284,940.72/427,411.08 = 74,596.68/x
  3. Step 3: Cross multiply
    284,940.72x = 427,411.08 × 74,596.68
  4. Step 4: Simplify right side
    284,940.72x = 31,883,447,563.21
  5. Step 5: Solve for x
    x = 31,883,447,563.21/284,940.72
  6. Step 6: Final answer
    x = 111,895.02

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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.