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Finding the Fourth Proportional to 398,413.85, 549,795.06 and 217,121.88

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Solution

The fourth proportional to 398,413.85, 549,795.06 and 217,121.88 is: 299,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,413.85 : 549,795.06 = 217,121.88 : x
  2. Step 2: Convert to fraction form
    398,413.85/549,795.06 = 217,121.88/x
  3. Step 3: Cross multiply
    398,413.85x = 549,795.06 × 217,121.88
  4. Step 4: Simplify right side
    398,413.85x = 119,372,539,103.64
  5. Step 5: Solve for x
    x = 119,372,539,103.64/398,413.85
  6. Step 6: Final answer
    x = 299,619.46

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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.