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Finding the Fourth Proportional to 278,325.78, 384,289.29 and 171,039.66

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Solution

The fourth proportional to 278,325.78, 384,289.29 and 171,039.66 is: 236,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,325.78 : 384,289.29 = 171,039.66 : x
  2. Step 2: Convert to fraction form
    278,325.78/384,289.29 = 171,039.66/x
  3. Step 3: Cross multiply
    278,325.78x = 384,289.29 × 171,039.66
  4. Step 4: Simplify right side
    278,325.78x = 65,728,709,503.24
  5. Step 5: Solve for x
    x = 65,728,709,503.24/278,325.78
  6. Step 6: Final answer
    x = 236,157.46

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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.