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Finding the Fourth Proportional to 276,807.50, 381,994.36 and 149,483.10

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Solution

The fourth proportional to 276,807.50, 381,994.36 and 149,483.10 is: 206,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,807.50 : 381,994.36 = 149,483.10 : x
  2. Step 2: Convert to fraction form
    276,807.50/381,994.36 = 149,483.10/x
  3. Step 3: Cross multiply
    276,807.50x = 381,994.36 × 149,483.10
  4. Step 4: Simplify right side
    276,807.50x = 57,101,698,457.93
  5. Step 5: Solve for x
    x = 57,101,698,457.93/276,807.50
  6. Step 6: Final answer
    x = 206,286.67

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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.