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Finding the Fourth Proportional to 284,830.62, 427,310.73 and 151,640.70

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Solution

The fourth proportional to 284,830.62, 427,310.73 and 151,640.70 is: 227,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,830.62 : 427,310.73 = 151,640.70 : x
  2. Step 2: Convert to fraction form
    284,830.62/427,310.73 = 151,640.70/x
  3. Step 3: Cross multiply
    284,830.62x = 427,310.73 × 151,640.70
  4. Step 4: Simplify right side
    284,830.62x = 64,797,698,214.71
  5. Step 5: Solve for x
    x = 64,797,698,214.71/284,830.62
  6. Step 6: Final answer
    x = 227,495.55

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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.