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Finding the Fourth Proportional to 410,129.40, 614,733.30 and 210,372.60

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Solution

The fourth proportional to 410,129.40, 614,733.30 and 210,372.60 is: 315,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,129.40 : 614,733.30 = 210,372.60 : x
  2. Step 2: Convert to fraction form
    410,129.40/614,733.30 = 210,372.60/x
  3. Step 3: Cross multiply
    410,129.40x = 614,733.30 × 210,372.60
  4. Step 4: Simplify right side
    410,129.40x = 129,323,042,627.58
  5. Step 5: Solve for x
    x = 129,323,042,627.58/410,129.40
  6. Step 6: Final answer
    x = 315,322.54

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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.