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Finding the Fourth Proportional to 355,396.98, 490,501.26 and 217,658.10

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Solution

The fourth proportional to 355,396.98, 490,501.26 and 217,658.10 is: 300,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,396.98 : 490,501.26 = 217,658.10 : x
  2. Step 2: Convert to fraction form
    355,396.98/490,501.26 = 217,658.10/x
  3. Step 3: Cross multiply
    355,396.98x = 490,501.26 × 217,658.10
  4. Step 4: Simplify right side
    355,396.98x = 106,761,572,299.21
  5. Step 5: Solve for x
    x = 106,761,572,299.21/355,396.98
  6. Step 6: Final answer
    x = 300,400.90

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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.