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Finding the Fourth Proportional to 284,787.40, 427,148.70 and 74,446.60

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Solution

The fourth proportional to 284,787.40, 427,148.70 and 74,446.60 is: 111,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,787.40 : 427,148.70 = 74,446.60 : x
  2. Step 2: Convert to fraction form
    284,787.40/427,148.70 = 74,446.60/x
  3. Step 3: Cross multiply
    284,787.40x = 427,148.70 × 74,446.60
  4. Step 4: Simplify right side
    284,787.40x = 31,799,768,409.42
  5. Step 5: Solve for x
    x = 31,799,768,409.42/284,787.40
  6. Step 6: Final answer
    x = 111,661.43

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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.