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Finding the Fourth Proportional to 393,078.52, 542,467.56 and 221,050.60

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Solution

The fourth proportional to 393,078.52, 542,467.56 and 221,050.60 is: 305,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,078.52 : 542,467.56 = 221,050.60 : x
  2. Step 2: Convert to fraction form
    393,078.52/542,467.56 = 221,050.60/x
  3. Step 3: Cross multiply
    393,078.52x = 542,467.56 × 221,050.60
  4. Step 4: Simplify right side
    393,078.52x = 119,912,779,618.54
  5. Step 5: Solve for x
    x = 119,912,779,618.54/393,078.52
  6. Step 6: Final answer
    x = 305,060.63

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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.