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Finding the Fourth Proportional to 523,578.42, 722,518.89 and 319,969.98

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Solution

The fourth proportional to 523,578.42, 722,518.89 and 319,969.98 is: 441,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,578.42 : 722,518.89 = 319,969.98 : x
  2. Step 2: Convert to fraction form
    523,578.42/722,518.89 = 319,969.98/x
  3. Step 3: Cross multiply
    523,578.42x = 722,518.89 × 319,969.98
  4. Step 4: Simplify right side
    523,578.42x = 231,184,354,782.92
  5. Step 5: Solve for x
    x = 231,184,354,782.92/523,578.42
  6. Step 6: Final answer
    x = 441,546.76

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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.