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Finding the Fourth Proportional to 284,792.85, 427,211.19 and 85,097.88

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Solution

The fourth proportional to 284,792.85, 427,211.19 and 85,097.88 is: 127,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,792.85 : 427,211.19 = 85,097.88 : x
  2. Step 2: Convert to fraction form
    284,792.85/427,211.19 = 85,097.88/x
  3. Step 3: Cross multiply
    284,792.85x = 427,211.19 × 85,097.88
  4. Step 4: Simplify right side
    284,792.85x = 36,354,766,581.28
  5. Step 5: Solve for x
    x = 36,354,766,581.28/284,792.85
  6. Step 6: Final answer
    x = 127,653.37

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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.