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Finding the Fourth Proportional to 402,413.85, 555,297.89 and 221,116.41

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Solution

The fourth proportional to 402,413.85, 555,297.89 and 221,116.41 is: 305,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,413.85 : 555,297.89 = 221,116.41 : x
  2. Step 2: Convert to fraction form
    402,413.85/555,297.89 = 221,116.41/x
  3. Step 3: Cross multiply
    402,413.85x = 555,297.89 × 221,116.41
  4. Step 4: Simplify right side
    402,413.85x = 122,785,474,811.79
  5. Step 5: Solve for x
    x = 122,785,474,811.79/402,413.85
  6. Step 6: Final answer
    x = 305,122.39

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1.5x scale

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.