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Finding the Fourth Proportional to 355,714.17, 490,889.42 and 194,565.68

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Solution

The fourth proportional to 355,714.17, 490,889.42 and 194,565.68 is: 268,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,714.17 : 490,889.42 = 194,565.68 : x
  2. Step 2: Convert to fraction form
    355,714.17/490,889.42 = 194,565.68/x
  3. Step 3: Cross multiply
    355,714.17x = 490,889.42 × 194,565.68
  4. Step 4: Simplify right side
    355,714.17x = 95,510,230,379.83
  5. Step 5: Solve for x
    x = 95,510,230,379.83/355,714.17
  6. Step 6: Final answer
    x = 268,502.74

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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.