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Finding the Fourth Proportional to 523,316.57, 722,289.42 and 319,323.80

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Solution

The fourth proportional to 523,316.57, 722,289.42 and 319,323.80 is: 440,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,316.57 : 722,289.42 = 319,323.80 : x
  2. Step 2: Convert to fraction form
    523,316.57/722,289.42 = 319,323.80/x
  3. Step 3: Cross multiply
    523,316.57x = 722,289.42 × 319,323.80
  4. Step 4: Simplify right side
    523,316.57x = 230,644,204,099.92
  5. Step 5: Solve for x
    x = 230,644,204,099.92/523,316.57
  6. Step 6: Final answer
    x = 440,735.53

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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.