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Finding the Fourth Proportional to 278,640.45, 384,641.54 and 188,119.03

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Solution

The fourth proportional to 278,640.45, 384,641.54 and 188,119.03 is: 259,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,640.45 : 384,641.54 = 188,119.03 : x
  2. Step 2: Convert to fraction form
    278,640.45/384,641.54 = 188,119.03/x
  3. Step 3: Cross multiply
    278,640.45x = 384,641.54 × 188,119.03
  4. Step 4: Simplify right side
    278,640.45x = 72,358,393,402.51
  5. Step 5: Solve for x
    x = 72,358,393,402.51/278,640.45
  6. Step 6: Final answer
    x = 259,683.74

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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.