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Finding the Fourth Proportional to 284,523.98, 426,418.04 and 212,884.54

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Solution

The fourth proportional to 284,523.98, 426,418.04 and 212,884.54 is: 319,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,523.98 : 426,418.04 = 212,884.54 : x
  2. Step 2: Convert to fraction form
    284,523.98/426,418.04 = 212,884.54/x
  3. Step 3: Cross multiply
    284,523.98x = 426,418.04 × 212,884.54
  4. Step 4: Simplify right side
    284,523.98x = 90,777,806,162.63
  5. Step 5: Solve for x
    x = 90,777,806,162.63/284,523.98
  6. Step 6: Final answer
    x = 319,051.52

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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.