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Finding the Fourth Proportional to 523,319.82, 722,293.91 and 319,327.06

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Solution

The fourth proportional to 523,319.82, 722,293.91 and 319,327.06 is: 440,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,319.82 : 722,293.91 = 319,327.06 : x
  2. Step 2: Convert to fraction form
    523,319.82/722,293.91 = 319,327.06/x
  3. Step 3: Cross multiply
    523,319.82x = 722,293.91 × 319,327.06
  4. Step 4: Simplify right side
    523,319.82x = 230,647,990,736.21
  5. Step 5: Solve for x
    x = 230,647,990,736.21/523,319.82
  6. Step 6: Final answer
    x = 440,740.03

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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.