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Finding the Fourth Proportional to 489,482.94, 734,259.78 and 204,887.28

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Solution

The fourth proportional to 489,482.94, 734,259.78 and 204,887.28 is: 307,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,482.94 : 734,259.78 = 204,887.28 : x
  2. Step 2: Convert to fraction form
    489,482.94/734,259.78 = 204,887.28/x
  3. Step 3: Cross multiply
    489,482.94x = 734,259.78 × 204,887.28
  4. Step 4: Simplify right side
    489,482.94x = 150,440,489,137.60
  5. Step 5: Solve for x
    x = 150,440,489,137.60/489,482.94
  6. Step 6: Final answer
    x = 307,345.73

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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.