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Finding the Fourth Proportional to 284,810.20, 427,257.77 and 104,881.78

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Solution

The fourth proportional to 284,810.20, 427,257.77 and 104,881.78 is: 157,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,810.20 : 427,257.77 = 104,881.78 : x
  2. Step 2: Convert to fraction form
    284,810.20/427,257.77 = 104,881.78/x
  3. Step 3: Cross multiply
    284,810.20x = 427,257.77 × 104,881.78
  4. Step 4: Simplify right side
    284,810.20x = 44,811,552,775.73
  5. Step 5: Solve for x
    x = 44,811,552,775.73/284,810.20
  6. Step 6: Final answer
    x = 157,338.30

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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.