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Finding the Fourth Proportional to 278,303.05, 417,194.87 and 109,824.77

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Solution

The fourth proportional to 278,303.05, 417,194.87 and 109,824.77 is: 164,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,303.05 : 417,194.87 = 109,824.77 : x
  2. Step 2: Convert to fraction form
    278,303.05/417,194.87 = 109,824.77/x
  3. Step 3: Cross multiply
    278,303.05x = 417,194.87 × 109,824.77
  4. Step 4: Simplify right side
    278,303.05x = 45,818,331,136.79
  5. Step 5: Solve for x
    x = 45,818,331,136.79/278,303.05
  6. Step 6: Final answer
    x = 164,634.67

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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.