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Finding the Fourth Proportional to 284,812.58, 393,043.92 and 157,496.78

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Solution

The fourth proportional to 284,812.58, 393,043.92 and 157,496.78 is: 217,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,812.58 : 393,043.92 = 157,496.78 : x
  2. Step 2: Convert to fraction form
    284,812.58/393,043.92 = 157,496.78/x
  3. Step 3: Cross multiply
    284,812.58x = 393,043.92 × 157,496.78
  4. Step 4: Simplify right side
    284,812.58x = 61,903,151,798.58
  5. Step 5: Solve for x
    x = 61,903,151,798.58/284,812.58
  6. Step 6: Final answer
    x = 217,346.97

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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.