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Finding the Fourth Proportional to 254,908.19, 382,413.32 and 142,747.90

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Solution

The fourth proportional to 254,908.19, 382,413.32 and 142,747.90 is: 214,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,908.19 : 382,413.32 = 142,747.90 : x
  2. Step 2: Convert to fraction form
    254,908.19/382,413.32 = 142,747.90/x
  3. Step 3: Cross multiply
    254,908.19x = 382,413.32 × 142,747.90
  4. Step 4: Simplify right side
    254,908.19x = 54,588,698,362.03
  5. Step 5: Solve for x
    x = 54,588,698,362.03/254,908.19
  6. Step 6: Final answer
    x = 214,150.43

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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.