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Finding the Fourth Proportional to 284,855.70, 393,103.44 and 157,533.42

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Solution

The fourth proportional to 284,855.70, 393,103.44 and 157,533.42 is: 217,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,855.70 : 393,103.44 = 157,533.42 : x
  2. Step 2: Convert to fraction form
    284,855.70/393,103.44 = 157,533.42/x
  3. Step 3: Cross multiply
    284,855.70x = 393,103.44 × 157,533.42
  4. Step 4: Simplify right side
    284,855.70x = 61,926,929,316.96
  5. Step 5: Solve for x
    x = 61,926,929,316.96/284,855.70
  6. Step 6: Final answer
    x = 217,397.54

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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.