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Finding the Fourth Proportional to 278,887.84, 384,868.22 and 151,563.46

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Solution

The fourth proportional to 278,887.84, 384,868.22 and 151,563.46 is: 209,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,887.84 : 384,868.22 = 151,563.46 : x
  2. Step 2: Convert to fraction form
    278,887.84/384,868.22 = 151,563.46/x
  3. Step 3: Cross multiply
    278,887.84x = 384,868.22 × 151,563.46
  4. Step 4: Simplify right side
    278,887.84x = 58,331,959,067.24
  5. Step 5: Solve for x
    x = 58,331,959,067.24/278,887.84
  6. Step 6: Final answer
    x = 209,159.21

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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.