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Finding the Fourth Proportional to 431,738.40, 647,413.20 and 194,959.20

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Solution

The fourth proportional to 431,738.40, 647,413.20 and 194,959.20 is: 292,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,738.40 : 647,413.20 = 194,959.20 : x
  2. Step 2: Convert to fraction form
    431,738.40/647,413.20 = 194,959.20/x
  3. Step 3: Cross multiply
    431,738.40x = 647,413.20 × 194,959.20
  4. Step 4: Simplify right side
    431,738.40x = 126,219,159,541.44
  5. Step 5: Solve for x
    x = 126,219,159,541.44/431,738.40
  6. Step 6: Final answer
    x = 292,351.02

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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.