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Finding the Fourth Proportional to 253,004.08, 379,199.18 and 185,821.21

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Solution

The fourth proportional to 253,004.08, 379,199.18 and 185,821.21 is: 278,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,004.08 : 379,199.18 = 185,821.21 : x
  2. Step 2: Convert to fraction form
    253,004.08/379,199.18 = 185,821.21/x
  3. Step 3: Cross multiply
    253,004.08x = 379,199.18 × 185,821.21
  4. Step 4: Simplify right side
    253,004.08x = 70,463,250,458.61
  5. Step 5: Solve for x
    x = 70,463,250,458.61/253,004.08
  6. Step 6: Final answer
    x = 278,506.38

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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.