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Finding the Fourth Proportional to 274,830.20, 412,202.10 and 97,311.80

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Solution

The fourth proportional to 274,830.20, 412,202.10 and 97,311.80 is: 145,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,830.20 : 412,202.10 = 97,311.80 : x
  2. Step 2: Convert to fraction form
    274,830.20/412,202.10 = 97,311.80/x
  3. Step 3: Cross multiply
    274,830.20x = 412,202.10 × 97,311.80
  4. Step 4: Simplify right side
    274,830.20x = 40,112,128,314.78
  5. Step 5: Solve for x
    x = 40,112,128,314.78/274,830.20
  6. Step 6: Final answer
    x = 145,952.40

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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.