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Finding the Fourth Proportional to 493,353.36, 680,808.42 and 309,690.72

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Solution

The fourth proportional to 493,353.36, 680,808.42 and 309,690.72 is: 427,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,353.36 : 680,808.42 = 309,690.72 : x
  2. Step 2: Convert to fraction form
    493,353.36/680,808.42 = 309,690.72/x
  3. Step 3: Cross multiply
    493,353.36x = 680,808.42 × 309,690.72
  4. Step 4: Simplify right side
    493,353.36x = 210,840,049,771.86
  5. Step 5: Solve for x
    x = 210,840,049,771.86/493,353.36
  6. Step 6: Final answer
    x = 427,361.13

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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.