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Finding the Fourth Proportional to 284,662.80, 392,814.72 and 157,343.04

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Solution

The fourth proportional to 284,662.80, 392,814.72 and 157,343.04 is: 217,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,662.80 : 392,814.72 = 157,343.04 : x
  2. Step 2: Convert to fraction form
    284,662.80/392,814.72 = 157,343.04/x
  3. Step 3: Cross multiply
    284,662.80x = 392,814.72 × 157,343.04
  4. Step 4: Simplify right side
    284,662.80x = 61,806,662,201.55
  5. Step 5: Solve for x
    x = 61,806,662,201.55/284,662.80
  6. Step 6: Final answer
    x = 217,122.37

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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.