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Finding the Fourth Proportional to 355,437.64, 490,490.42 and 194,291.24

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Solution

The fourth proportional to 355,437.64, 490,490.42 and 194,291.24 is: 268,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,437.64 : 490,490.42 = 194,291.24 : x
  2. Step 2: Convert to fraction form
    355,437.64/490,490.42 = 194,291.24/x
  3. Step 3: Cross multiply
    355,437.64x = 490,490.42 × 194,291.24
  4. Step 4: Simplify right side
    355,437.64x = 95,297,991,909.92
  5. Step 5: Solve for x
    x = 95,297,991,909.92/355,437.64
  6. Step 6: Final answer
    x = 268,114.52

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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.