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Finding the Fourth Proportional to 307,551.20, 461,413.20 and 149,784.80

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Solution

The fourth proportional to 307,551.20, 461,413.20 and 149,784.80 is: 224,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,551.20 : 461,413.20 = 149,784.80 : x
  2. Step 2: Convert to fraction form
    307,551.20/461,413.20 = 149,784.80/x
  3. Step 3: Cross multiply
    307,551.20x = 461,413.20 × 149,784.80
  4. Step 4: Simplify right side
    307,551.20x = 69,112,683,879.36
  5. Step 5: Solve for x
    x = 69,112,683,879.36/307,551.20
  6. Step 6: Final answer
    x = 224,719.28

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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.