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Finding the Fourth Proportional to 489,924.06, 734,697.10 and 190,365.20

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Solution

The fourth proportional to 489,924.06, 734,697.10 and 190,365.20 is: 285,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,924.06 : 734,697.10 = 190,365.20 : x
  2. Step 2: Convert to fraction form
    489,924.06/734,697.10 = 190,365.20/x
  3. Step 3: Cross multiply
    489,924.06x = 734,697.10 × 190,365.20
  4. Step 4: Simplify right side
    489,924.06x = 139,860,760,380.92
  5. Step 5: Solve for x
    x = 139,860,760,380.92/489,924.06
  6. Step 6: Final answer
    x = 285,474.37

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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.