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Finding the Fourth Proportional to 313,847, 470,977.88 and 147,647.96

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Solution

The fourth proportional to 313,847, 470,977.88 and 147,647.96 is: 221,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,847 : 470,977.88 = 147,647.96 : x
  2. Step 2: Convert to fraction form
    313,847/470,977.88 = 147,647.96/x
  3. Step 3: Cross multiply
    313,847x = 470,977.88 × 147,647.96
  4. Step 4: Simplify right side
    313,847x = 69,538,923,187.12
  5. Step 5: Solve for x
    x = 69,538,923,187.12/313,847
  6. Step 6: Final answer
    x = 221,569.50

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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.