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Finding the Fourth Proportional to 288,942.70, 433,415.40 and 101,954.20

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Solution

The fourth proportional to 288,942.70, 433,415.40 and 101,954.20 is: 152,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,942.70 : 433,415.40 = 101,954.20 : x
  2. Step 2: Convert to fraction form
    288,942.70/433,415.40 = 101,954.20/x
  3. Step 3: Cross multiply
    288,942.70x = 433,415.40 × 101,954.20
  4. Step 4: Simplify right side
    288,942.70x = 44,188,520,374.68
  5. Step 5: Solve for x
    x = 44,188,520,374.68/288,942.70
  6. Step 6: Final answer
    x = 152,931.78

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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.