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Finding the Fourth Proportional to 197,830.84, 297,042.70 and 171,258.78

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Solution

The fourth proportional to 197,830.84, 297,042.70 and 171,258.78 is: 257,144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,830.84 : 297,042.70 = 171,258.78 : x
  2. Step 2: Convert to fraction form
    197,830.84/297,042.70 = 171,258.78/x
  3. Step 3: Cross multiply
    197,830.84x = 297,042.70 × 171,258.78
  4. Step 4: Simplify right side
    197,830.84x = 50,871,170,409.91
  5. Step 5: Solve for x
    x = 50,871,170,409.91/197,830.84
  6. Step 6: Final answer
    x = 257,144.79

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1.5x scale

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.