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Finding the Fourth Proportional to 363,413.80, 545,444.70 and 213,466.60

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Solution

The fourth proportional to 363,413.80, 545,444.70 and 213,466.60 is: 320,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,413.80 : 545,444.70 = 213,466.60 : x
  2. Step 2: Convert to fraction form
    363,413.80/545,444.70 = 213,466.60/x
  3. Step 3: Cross multiply
    363,413.80x = 545,444.70 × 213,466.60
  4. Step 4: Simplify right side
    363,413.80x = 116,434,225,597.02
  5. Step 5: Solve for x
    x = 116,434,225,597.02/363,413.80
  6. Step 6: Final answer
    x = 320,390.22

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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.