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Finding the Fourth Proportional to 299,152.98, 412,657.47 and 197,194.50

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Solution

The fourth proportional to 299,152.98, 412,657.47 and 197,194.50 is: 272,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,152.98 : 412,657.47 = 197,194.50 : x
  2. Step 2: Convert to fraction form
    299,152.98/412,657.47 = 197,194.50/x
  3. Step 3: Cross multiply
    299,152.98x = 412,657.47 × 197,194.50
  4. Step 4: Simplify right side
    299,152.98x = 81,373,783,467.92
  5. Step 5: Solve for x
    x = 81,373,783,467.92/299,152.98
  6. Step 6: Final answer
    x = 272,013.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.