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Finding the Fourth Proportional to 298,847.64, 412,384.86 and 171,496.20

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Solution

The fourth proportional to 298,847.64, 412,384.86 and 171,496.20 is: 236,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,847.64 : 412,384.86 = 171,496.20 : x
  2. Step 2: Convert to fraction form
    298,847.64/412,384.86 = 171,496.20/x
  3. Step 3: Cross multiply
    298,847.64x = 412,384.86 × 171,496.20
  4. Step 4: Simplify right side
    298,847.64x = 70,722,436,427.53
  5. Step 5: Solve for x
    x = 70,722,436,427.53/298,847.64
  6. Step 6: Final answer
    x = 236,650.48

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1.5x scale

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.