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Finding the Fourth Proportional to 426,111.20, 639,015.60 and 189,029.60

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Solution

The fourth proportional to 426,111.20, 639,015.60 and 189,029.60 is: 283,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,111.20 : 639,015.60 = 189,029.60 : x
  2. Step 2: Convert to fraction form
    426,111.20/639,015.60 = 189,029.60/x
  3. Step 3: Cross multiply
    426,111.20x = 639,015.60 × 189,029.60
  4. Step 4: Simplify right side
    426,111.20x = 120,792,863,261.76
  5. Step 5: Solve for x
    x = 120,792,863,261.76/426,111.20
  6. Step 6: Final answer
    x = 283,477.33

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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.