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Finding the Fourth Proportional to 567,493.21, 783,135.48 and 312,844.39

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Solution

The fourth proportional to 567,493.21, 783,135.48 and 312,844.39 is: 431,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,493.21 : 783,135.48 = 312,844.39 : x
  2. Step 2: Convert to fraction form
    567,493.21/783,135.48 = 312,844.39/x
  3. Step 3: Cross multiply
    567,493.21x = 783,135.48 × 312,844.39
  4. Step 4: Simplify right side
    567,493.21x = 244,999,541,527.96
  5. Step 5: Solve for x
    x = 244,999,541,527.96/567,493.21
  6. Step 6: Final answer
    x = 431,722.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.