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Finding the Fourth Proportional to 284,855.96, 393,074.83 and 157,528.82

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Solution

The fourth proportional to 284,855.96, 393,074.83 and 157,528.82 is: 217,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,855.96 : 393,074.83 = 157,528.82 : x
  2. Step 2: Convert to fraction form
    284,855.96/393,074.83 = 157,528.82/x
  3. Step 3: Cross multiply
    284,855.96x = 393,074.83 × 157,528.82
  4. Step 4: Simplify right side
    284,855.96x = 61,920,614,141.60
  5. Step 5: Solve for x
    x = 61,920,614,141.60/284,855.96
  6. Step 6: Final answer
    x = 217,375.17

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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.