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Finding the Fourth Proportional to 290,111.52, 434,817.36 and 149,793.60

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Solution

The fourth proportional to 290,111.52, 434,817.36 and 149,793.60 is: 224,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,111.52 : 434,817.36 = 149,793.60 : x
  2. Step 2: Convert to fraction form
    290,111.52/434,817.36 = 149,793.60/x
  3. Step 3: Cross multiply
    290,111.52x = 434,817.36 × 149,793.60
  4. Step 4: Simplify right side
    290,111.52x = 65,132,857,696.90
  5. Step 5: Solve for x
    x = 65,132,857,696.90/290,111.52
  6. Step 6: Final answer
    x = 224,509.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.