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Finding the Fourth Proportional to 409,674.60, 614,511.87 and 129,213.72

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Solution

The fourth proportional to 409,674.60, 614,511.87 and 129,213.72 is: 193,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,674.60 : 614,511.87 = 129,213.72 : x
  2. Step 2: Convert to fraction form
    409,674.60/614,511.87 = 129,213.72/x
  3. Step 3: Cross multiply
    409,674.60x = 614,511.87 × 129,213.72
  4. Step 4: Simplify right side
    409,674.60x = 79,403,364,706.86
  5. Step 5: Solve for x
    x = 79,403,364,706.86/409,674.60
  6. Step 6: Final answer
    x = 193,820.57

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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.