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Finding the Fourth Proportional to 306,098.57, 459,147.22 and 81,458.98

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Solution

The fourth proportional to 306,098.57, 459,147.22 and 81,458.98 is: 122,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.57 : 459,147.22 = 81,458.98 : x
  2. Step 2: Convert to fraction form
    306,098.57/459,147.22 = 81,458.98/x
  3. Step 3: Cross multiply
    306,098.57x = 459,147.22 × 81,458.98
  4. Step 4: Simplify right side
    306,098.57x = 37,401,662,859.52
  5. Step 5: Solve for x
    x = 37,401,662,859.52/306,098.57
  6. Step 6: Final answer
    x = 122,188.30

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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.