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Finding the Fourth Proportional to 284,883.83, 427,388.93 and 107,392.38

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Solution

The fourth proportional to 284,883.83, 427,388.93 and 107,392.38 is: 161,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,883.83 : 427,388.93 = 107,392.38 : x
  2. Step 2: Convert to fraction form
    284,883.83/427,388.93 = 107,392.38/x
  3. Step 3: Cross multiply
    284,883.83x = 427,388.93 × 107,392.38
  4. Step 4: Simplify right side
    284,883.83x = 45,898,312,641.40
  5. Step 5: Solve for x
    x = 45,898,312,641.40/284,883.83
  6. Step 6: Final answer
    x = 161,112.38

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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.