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Finding the Fourth Proportional to 284,840, 427,260.93 and 107,299.34

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Solution

The fourth proportional to 284,840, 427,260.93 and 107,299.34 is: 160,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,840 : 427,260.93 = 107,299.34 : x
  2. Step 2: Convert to fraction form
    284,840/427,260.93 = 107,299.34/x
  3. Step 3: Cross multiply
    284,840x = 427,260.93 × 107,299.34
  4. Step 4: Simplify right side
    284,840x = 45,844,815,796.79
  5. Step 5: Solve for x
    x = 45,844,815,796.79/284,840
  6. Step 6: Final answer
    x = 160,949.36

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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.