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Finding the Fourth Proportional to 409,730.86, 614,217.75 and 259,516.90

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Solution

The fourth proportional to 409,730.86, 614,217.75 and 259,516.90 is: 389,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,730.86 : 614,217.75 = 259,516.90 : x
  2. Step 2: Convert to fraction form
    409,730.86/614,217.75 = 259,516.90/x
  3. Step 3: Cross multiply
    409,730.86x = 614,217.75 × 259,516.90
  4. Step 4: Simplify right side
    409,730.86x = 159,399,886,404.98
  5. Step 5: Solve for x
    x = 159,399,886,404.98/409,730.86
  6. Step 6: Final answer
    x = 389,035.59

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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.