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Finding the Fourth Proportional to 284,881.86, 427,385.97 and 107,390.41

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Solution

The fourth proportional to 284,881.86, 427,385.97 and 107,390.41 is: 161,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,881.86 : 427,385.97 = 107,390.41 : x
  2. Step 2: Convert to fraction form
    284,881.86/427,385.97 = 107,390.41/x
  3. Step 3: Cross multiply
    284,881.86x = 427,385.97 × 107,390.41
  4. Step 4: Simplify right side
    284,881.86x = 45,897,153,478.08
  5. Step 5: Solve for x
    x = 45,897,153,478.08/284,881.86
  6. Step 6: Final answer
    x = 161,109.43

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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.