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Finding the Fourth Proportional to 413,254.20, 618,698.70 and 254,413.20

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Solution

The fourth proportional to 413,254.20, 618,698.70 and 254,413.20 is: 380,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,254.20 : 618,698.70 = 254,413.20 : x
  2. Step 2: Convert to fraction form
    413,254.20/618,698.70 = 254,413.20/x
  3. Step 3: Cross multiply
    413,254.20x = 618,698.70 × 254,413.20
  4. Step 4: Simplify right side
    413,254.20x = 157,405,116,102.84
  5. Step 5: Solve for x
    x = 157,405,116,102.84/413,254.20
  6. Step 6: Final answer
    x = 380,891.75

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1.5x scale

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.