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Finding the Fourth Proportional to 489,000.62, 734,003.94 and 299,591.84

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Solution

The fourth proportional to 489,000.62, 734,003.94 and 299,591.84 is: 449,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,000.62 : 734,003.94 = 299,591.84 : x
  2. Step 2: Convert to fraction form
    489,000.62/734,003.94 = 299,591.84/x
  3. Step 3: Cross multiply
    489,000.62x = 734,003.94 × 299,591.84
  4. Step 4: Simplify right side
    489,000.62x = 219,901,590,951.85
  5. Step 5: Solve for x
    x = 219,901,590,951.85/489,000.62
  6. Step 6: Final answer
    x = 449,695.93

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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.