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Finding the Fourth Proportional to 284,378.56, 426,239.72 and 106,772.28

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Solution

The fourth proportional to 284,378.56, 426,239.72 and 106,772.28 is: 160,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,378.56 : 426,239.72 = 106,772.28 : x
  2. Step 2: Convert to fraction form
    284,378.56/426,239.72 = 106,772.28/x
  3. Step 3: Cross multiply
    284,378.56x = 426,239.72 × 106,772.28
  4. Step 4: Simplify right side
    284,378.56x = 45,510,586,730.96
  5. Step 5: Solve for x
    x = 45,510,586,730.96/284,378.56
  6. Step 6: Final answer
    x = 160,035.22

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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.