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Finding the Fourth Proportional to 284,364.33, 426,427.41 and 115,770

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Solution

The fourth proportional to 284,364.33, 426,427.41 and 115,770 is: 173,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,364.33 : 426,427.41 = 115,770 : x
  2. Step 2: Convert to fraction form
    284,364.33/426,427.41 = 115,770/x
  3. Step 3: Cross multiply
    284,364.33x = 426,427.41 × 115,770
  4. Step 4: Simplify right side
    284,364.33x = 49,367,501,255.70
  5. Step 5: Solve for x
    x = 49,367,501,255.70/284,364.33
  6. Step 6: Final answer
    x = 173,606.52

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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.