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Finding the Fourth Proportional to 284,951.70, 427,427.55 and 266,289.30

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Solution

The fourth proportional to 284,951.70, 427,427.55 and 266,289.30 is: 399,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,951.70 : 427,427.55 = 266,289.30 : x
  2. Step 2: Convert to fraction form
    284,951.70/427,427.55 = 266,289.30/x
  3. Step 3: Cross multiply
    284,951.70x = 427,427.55 × 266,289.30
  4. Step 4: Simplify right side
    284,951.70x = 113,819,383,090.22
  5. Step 5: Solve for x
    x = 113,819,383,090.22/284,951.70
  6. Step 6: Final answer
    x = 399,433.95

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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.