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Finding the Fourth Proportional to 284,376.30, 426,236.37 and 106,770

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Solution

The fourth proportional to 284,376.30, 426,236.37 and 106,770 is: 160,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,376.30 : 426,236.37 = 106,770 : x
  2. Step 2: Convert to fraction form
    284,376.30/426,236.37 = 106,770/x
  3. Step 3: Cross multiply
    284,376.30x = 426,236.37 × 106,770
  4. Step 4: Simplify right side
    284,376.30x = 45,509,257,224.90
  5. Step 5: Solve for x
    x = 45,509,257,224.90/284,376.30
  6. Step 6: Final answer
    x = 160,031.82

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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.