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Finding the Fourth Proportional to 398,125.50, 549,413.19 and 219,277.50

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Solution

The fourth proportional to 398,125.50, 549,413.19 and 219,277.50 is: 302,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,125.50 : 549,413.19 = 219,277.50 : x
  2. Step 2: Convert to fraction form
    398,125.50/549,413.19 = 219,277.50/x
  3. Step 3: Cross multiply
    398,125.50x = 549,413.19 × 219,277.50
  4. Step 4: Simplify right side
    398,125.50x = 120,473,950,770.23
  5. Step 5: Solve for x
    x = 120,473,950,770.23/398,125.50
  6. Step 6: Final answer
    x = 302,602.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.