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Finding the Fourth Proportional to 284,927.83, 393,183.11 and 155,841.98

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Solution

The fourth proportional to 284,927.83, 393,183.11 and 155,841.98 is: 215,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,927.83 : 393,183.11 = 155,841.98 : x
  2. Step 2: Convert to fraction form
    284,927.83/393,183.11 = 155,841.98/x
  3. Step 3: Cross multiply
    284,927.83x = 393,183.11 × 155,841.98
  4. Step 4: Simplify right side
    284,927.83x = 61,274,432,788.65
  5. Step 5: Solve for x
    x = 61,274,432,788.65/284,927.83
  6. Step 6: Final answer
    x = 215,052.47

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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.