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Finding the Fourth Proportional to 774,222, 1,161,333 and 213,256.56

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Solution

The fourth proportional to 774,222, 1,161,333 and 213,256.56 is: 319,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,222 : 1,161,333 = 213,256.56 : x
  2. Step 2: Convert to fraction form
    774,222/1,161,333 = 213,256.56/x
  3. Step 3: Cross multiply
    774,222x = 1,161,333 × 213,256.56
  4. Step 4: Simplify right side
    774,222x = 247,661,880,594.48
  5. Step 5: Solve for x
    x = 247,661,880,594.48/774,222
  6. Step 6: Final answer
    x = 319,884.84

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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.