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Finding the Fourth Proportional to 278,893.94, 384,862.79 and 151,566.80

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Solution

The fourth proportional to 278,893.94, 384,862.79 and 151,566.80 is: 209,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,893.94 : 384,862.79 = 151,566.80 : x
  2. Step 2: Convert to fraction form
    278,893.94/384,862.79 = 151,566.80/x
  3. Step 3: Cross multiply
    278,893.94x = 384,862.79 × 151,566.80
  4. Step 4: Simplify right side
    278,893.94x = 58,332,419,973.98
  5. Step 5: Solve for x
    x = 58,332,419,973.98/278,893.94
  6. Step 6: Final answer
    x = 209,156.29

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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.