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Finding the Fourth Proportional to 413,106.39, 619,659.60 and 132,820.47

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Solution

The fourth proportional to 413,106.39, 619,659.60 and 132,820.47 is: 199,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,106.39 : 619,659.60 = 132,820.47 : x
  2. Step 2: Convert to fraction form
    413,106.39/619,659.60 = 132,820.47/x
  3. Step 3: Cross multiply
    413,106.39x = 619,659.60 × 132,820.47
  4. Step 4: Simplify right side
    413,106.39x = 82,303,479,312.01
  5. Step 5: Solve for x
    x = 82,303,479,312.01/413,106.39
  6. Step 6: Final answer
    x = 199,230.71

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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.