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Finding the Fourth Proportional to 489,796.45, 734,906.08 and 253,305.20

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Solution

The fourth proportional to 489,796.45, 734,906.08 and 253,305.20 is: 380,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,796.45 : 734,906.08 = 253,305.20 : x
  2. Step 2: Convert to fraction form
    489,796.45/734,906.08 = 253,305.20/x
  3. Step 3: Cross multiply
    489,796.45x = 734,906.08 × 253,305.20
  4. Step 4: Simplify right side
    489,796.45x = 186,155,533,729.51
  5. Step 5: Solve for x
    x = 186,155,533,729.51/489,796.45
  6. Step 6: Final answer
    x = 380,067.14

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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.