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Finding the Fourth Proportional to 777,021, 1,165,597.52 and 216,055.50

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Solution

The fourth proportional to 777,021, 1,165,597.52 and 216,055.50 is: 324,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,021 : 1,165,597.52 = 216,055.50 : x
  2. Step 2: Convert to fraction form
    777,021/1,165,597.52 = 216,055.50/x
  3. Step 3: Cross multiply
    777,021x = 1,165,597.52 × 216,055.50
  4. Step 4: Simplify right side
    777,021x = 251,833,753,902.08
  5. Step 5: Solve for x
    x = 251,833,753,902.08/777,021
  6. Step 6: Final answer
    x = 324,101.61

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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.