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Finding the Fourth Proportional to 278,586.81, 384,473.61 and 157,749.39

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Solution

The fourth proportional to 278,586.81, 384,473.61 and 157,749.39 is: 217,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,586.81 : 384,473.61 = 157,749.39 : x
  2. Step 2: Convert to fraction form
    278,586.81/384,473.61 = 157,749.39/x
  3. Step 3: Cross multiply
    278,586.81x = 384,473.61 × 157,749.39
  4. Step 4: Simplify right side
    278,586.81x = 60,650,477,448.60
  5. Step 5: Solve for x
    x = 60,650,477,448.60/278,586.81
  6. Step 6: Final answer
    x = 217,707.64

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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.