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Finding the Fourth Proportional to 284,798.44, 392,991.78 and 157,453.48

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Solution

The fourth proportional to 284,798.44, 392,991.78 and 157,453.48 is: 217,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,798.44 : 392,991.78 = 157,453.48 : x
  2. Step 2: Convert to fraction form
    284,798.44/392,991.78 = 157,453.48/x
  3. Step 3: Cross multiply
    284,798.44x = 392,991.78 × 157,453.48
  4. Step 4: Simplify right side
    284,798.44x = 61,877,923,372.39
  5. Step 5: Solve for x
    x = 61,877,923,372.39/284,798.44
  6. Step 6: Final answer
    x = 217,269.18

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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.