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Finding the Fourth Proportional to 328,651.78, 493,181.79 and 210,407.98

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Solution

The fourth proportional to 328,651.78, 493,181.79 and 210,407.98 is: 315,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,651.78 : 493,181.79 = 210,407.98 : x
  2. Step 2: Convert to fraction form
    328,651.78/493,181.79 = 210,407.98/x
  3. Step 3: Cross multiply
    328,651.78x = 493,181.79 × 210,407.98
  4. Step 4: Simplify right side
    328,651.78x = 103,769,384,206.68
  5. Step 5: Solve for x
    x = 103,769,384,206.68/328,651.78
  6. Step 6: Final answer
    x = 315,742.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.