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Finding the Fourth Proportional to 847,992, 1,272,571.20 and 349,356

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Solution

The fourth proportional to 847,992, 1,272,571.20 and 349,356 is: 524,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,992 : 1,272,571.20 = 349,356 : x
  2. Step 2: Convert to fraction form
    847,992/1,272,571.20 = 349,356/x
  3. Step 3: Cross multiply
    847,992x = 1,272,571.20 × 349,356
  4. Step 4: Simplify right side
    847,992x = 444,580,384,147.20
  5. Step 5: Solve for x
    x = 444,580,384,147.20/847,992
  6. Step 6: Final answer
    x = 524,274.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.