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Finding the Fourth Proportional to 395,090, 545,224.20 and 216,242

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Solution

The fourth proportional to 395,090, 545,224.20 and 216,242 is: 298,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,090 : 545,224.20 = 216,242 : x
  2. Step 2: Convert to fraction form
    395,090/545,224.20 = 216,242/x
  3. Step 3: Cross multiply
    395,090x = 545,224.20 × 216,242
  4. Step 4: Simplify right side
    395,090x = 117,900,371,456.40
  5. Step 5: Solve for x
    x = 117,900,371,456.40/395,090
  6. Step 6: Final answer
    x = 298,413.96

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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.