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Finding the Fourth Proportional to 349,721.60, 523,977.60 and 162,348.80

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Solution

The fourth proportional to 349,721.60, 523,977.60 and 162,348.80 is: 243,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,721.60 : 523,977.60 = 162,348.80 : x
  2. Step 2: Convert to fraction form
    349,721.60/523,977.60 = 162,348.80/x
  3. Step 3: Cross multiply
    349,721.60x = 523,977.60 × 162,348.80
  4. Step 4: Simplify right side
    349,721.60x = 85,067,134,586.88
  5. Step 5: Solve for x
    x = 85,067,134,586.88/349,721.60
  6. Step 6: Final answer
    x = 243,242.44

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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.