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Finding the Fourth Proportional to 284,879.28, 393,099.30 and 157,537.56

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Solution

The fourth proportional to 284,879.28, 393,099.30 and 157,537.56 is: 217,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,879.28 : 393,099.30 = 157,537.56 : x
  2. Step 2: Convert to fraction form
    284,879.28/393,099.30 = 157,537.56/x
  3. Step 3: Cross multiply
    284,879.28x = 393,099.30 × 157,537.56
  4. Step 4: Simplify right side
    284,879.28x = 61,927,904,559.71
  5. Step 5: Solve for x
    x = 61,927,904,559.71/284,879.28
  6. Step 6: Final answer
    x = 217,382.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.