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Finding the Fourth Proportional to 284,281.75, 392,305.86 and 155,219.82

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Solution

The fourth proportional to 284,281.75, 392,305.86 and 155,219.82 is: 214,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281.75 : 392,305.86 = 155,219.82 : x
  2. Step 2: Convert to fraction form
    284,281.75/392,305.86 = 155,219.82/x
  3. Step 3: Cross multiply
    284,281.75x = 392,305.86 × 155,219.82
  4. Step 4: Simplify right side
    284,281.75x = 60,893,644,169.80
  5. Step 5: Solve for x
    x = 60,893,644,169.80/284,281.75
  6. Step 6: Final answer
    x = 214,201.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.