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Finding the Fourth Proportional to 431,138.70, 646,708.05 and 389,148.30

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Solution

The fourth proportional to 431,138.70, 646,708.05 and 389,148.30 is: 583,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,138.70 : 646,708.05 = 389,148.30 : x
  2. Step 2: Convert to fraction form
    431,138.70/646,708.05 = 389,148.30/x
  3. Step 3: Cross multiply
    431,138.70x = 646,708.05 × 389,148.30
  4. Step 4: Simplify right side
    431,138.70x = 251,665,338,253.82
  5. Step 5: Solve for x
    x = 251,665,338,253.82/431,138.70
  6. Step 6: Final answer
    x = 583,722.45

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Similar ratio
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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.