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Finding the Fourth Proportional to 319,100.67, 440,471.70 and 285,050.02

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Solution

The fourth proportional to 319,100.67, 440,471.70 and 285,050.02 is: 393,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,100.67 : 440,471.70 = 285,050.02 : x
  2. Step 2: Convert to fraction form
    319,100.67/440,471.70 = 285,050.02/x
  3. Step 3: Cross multiply
    319,100.67x = 440,471.70 × 285,050.02
  4. Step 4: Simplify right side
    319,100.67x = 125,556,466,894.43
  5. Step 5: Solve for x
    x = 125,556,466,894.43/319,100.67
  6. Step 6: Final answer
    x = 393,469.77

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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.