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Finding the Fourth Proportional to 498,577.38, 688,184.01 and 347,722.98

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Solution

The fourth proportional to 498,577.38, 688,184.01 and 347,722.98 is: 479,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,577.38 : 688,184.01 = 347,722.98 : x
  2. Step 2: Convert to fraction form
    498,577.38/688,184.01 = 347,722.98/x
  3. Step 3: Cross multiply
    498,577.38x = 688,184.01 × 347,722.98
  4. Step 4: Simplify right side
    498,577.38x = 239,297,394,745.55
  5. Step 5: Solve for x
    x = 239,297,394,745.55/498,577.38
  6. Step 6: Final answer
    x = 479,960.39

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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.