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Finding the Fourth Proportional to 431,330.40, 646,412.40 and 381,175.20

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Solution

The fourth proportional to 431,330.40, 646,412.40 and 381,175.20 is: 571,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,330.40 : 646,412.40 = 381,175.20 : x
  2. Step 2: Convert to fraction form
    431,330.40/646,412.40 = 381,175.20/x
  3. Step 3: Cross multiply
    431,330.40x = 646,412.40 × 381,175.20
  4. Step 4: Simplify right side
    431,330.40x = 246,396,375,852.48
  5. Step 5: Solve for x
    x = 246,396,375,852.48/431,330.40
  6. Step 6: Final answer
    x = 571,247.41

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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.