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Finding the Fourth Proportional to 278,424.90, 384,227.40 and 151,100.52

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Solution

The fourth proportional to 278,424.90, 384,227.40 and 151,100.52 is: 208,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,424.90 : 384,227.40 = 151,100.52 : x
  2. Step 2: Convert to fraction form
    278,424.90/384,227.40 = 151,100.52/x
  3. Step 3: Cross multiply
    278,424.90x = 384,227.40 × 151,100.52
  4. Step 4: Simplify right side
    278,424.90x = 58,056,959,938.25
  5. Step 5: Solve for x
    x = 58,056,959,938.25/278,424.90
  6. Step 6: Final answer
    x = 208,519.28

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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.