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Finding the Fourth Proportional to 304,683.44, 420,413.08 and 191,426

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Solution

The fourth proportional to 304,683.44, 420,413.08 and 191,426 is: 264,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,683.44 : 420,413.08 = 191,426 : x
  2. Step 2: Convert to fraction form
    304,683.44/420,413.08 = 191,426/x
  3. Step 3: Cross multiply
    304,683.44x = 420,413.08 × 191,426
  4. Step 4: Simplify right side
    304,683.44x = 80,477,994,252.08
  5. Step 5: Solve for x
    x = 80,477,994,252.08/304,683.44
  6. Step 6: Final answer
    x = 264,136.42

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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.