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Finding the Fourth Proportional to 431,336.82, 646,021.08 and 380,883

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Solution

The fourth proportional to 431,336.82, 646,021.08 and 380,883 is: 570,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,336.82 : 646,021.08 = 380,883 : x
  2. Step 2: Convert to fraction form
    431,336.82/646,021.08 = 380,883/x
  3. Step 3: Cross multiply
    431,336.82x = 646,021.08 × 380,883
  4. Step 4: Simplify right side
    431,336.82x = 246,058,447,013.64
  5. Step 5: Solve for x
    x = 246,058,447,013.64/431,336.82
  6. Step 6: Final answer
    x = 570,455.47

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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.