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Finding the Fourth Proportional to 257,861.72, 387,075.44 and 204,894.20

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Solution

The fourth proportional to 257,861.72, 387,075.44 and 204,894.20 is: 307,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,861.72 : 387,075.44 = 204,894.20 : x
  2. Step 2: Convert to fraction form
    257,861.72/387,075.44 = 204,894.20/x
  3. Step 3: Cross multiply
    257,861.72x = 387,075.44 × 204,894.20
  4. Step 4: Simplify right side
    257,861.72x = 79,309,512,618.45
  5. Step 5: Solve for x
    x = 79,309,512,618.45/257,861.72
  6. Step 6: Final answer
    x = 307,566.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.