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Finding the Fourth Proportional to 278,302.75, 384,058.51 and 150,978.33

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Solution

The fourth proportional to 278,302.75, 384,058.51 and 150,978.33 is: 208,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,302.75 : 384,058.51 = 150,978.33 : x
  2. Step 2: Convert to fraction form
    278,302.75/384,058.51 = 150,978.33/x
  3. Step 3: Cross multiply
    278,302.75x = 384,058.51 × 150,978.33
  4. Step 4: Simplify right side
    278,302.75x = 57,984,512,084.64
  5. Step 5: Solve for x
    x = 57,984,512,084.64/278,302.75
  6. Step 6: Final answer
    x = 208,350.48

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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.