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Finding the Fourth Proportional to 278,720.39, 384,641.26 and 157,859.89

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Solution

The fourth proportional to 278,720.39, 384,641.26 and 157,859.89 is: 217,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,720.39 : 384,641.26 = 157,859.89 : x
  2. Step 2: Convert to fraction form
    278,720.39/384,641.26 = 157,859.89/x
  3. Step 3: Cross multiply
    278,720.39x = 384,641.26 × 157,859.89
  4. Step 4: Simplify right side
    278,720.39x = 60,719,425,636.81
  5. Step 5: Solve for x
    x = 60,719,425,636.81/278,720.39
  6. Step 6: Final answer
    x = 217,850.67

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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.