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Finding the Fourth Proportional to 278,716.96, 384,636.56 and 151,399.84

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Solution

The fourth proportional to 278,716.96, 384,636.56 and 151,399.84 is: 208,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,716.96 : 384,636.56 = 151,399.84 : x
  2. Step 2: Convert to fraction form
    278,716.96/384,636.56 = 151,399.84/x
  3. Step 3: Cross multiply
    278,716.96x = 384,636.56 × 151,399.84
  4. Step 4: Simplify right side
    278,716.96x = 58,233,913,642.15
  5. Step 5: Solve for x
    x = 58,233,913,642.15/278,716.96
  6. Step 6: Final answer
    x = 208,935.67

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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.