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Finding the Fourth Proportional to 547,978.76, 822,034.56 and 192,920.12

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Solution

The fourth proportional to 547,978.76, 822,034.56 and 192,920.12 is: 289,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,978.76 : 822,034.56 = 192,920.12 : x
  2. Step 2: Convert to fraction form
    547,978.76/822,034.56 = 192,920.12/x
  3. Step 3: Cross multiply
    547,978.76x = 822,034.56 × 192,920.12
  4. Step 4: Simplify right side
    547,978.76x = 158,587,005,959.35
  5. Step 5: Solve for x
    x = 158,587,005,959.35/547,978.76
  6. Step 6: Final answer
    x = 289,403.56

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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.