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Finding the Fourth Proportional to 298,840.95, 412,388.50 and 162,871.98

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Solution

The fourth proportional to 298,840.95, 412,388.50 and 162,871.98 is: 224,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,840.95 : 412,388.50 = 162,871.98 : x
  2. Step 2: Convert to fraction form
    298,840.95/412,388.50 = 162,871.98/x
  3. Step 3: Cross multiply
    298,840.95x = 412,388.50 × 162,871.98
  4. Step 4: Simplify right side
    298,840.95x = 67,166,531,524.23
  5. Step 5: Solve for x
    x = 67,166,531,524.23/298,840.95
  6. Step 6: Final answer
    x = 224,756.79

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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.