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Finding the Fourth Proportional to 719,222, 1,078,884.84 and 275,990

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Solution

The fourth proportional to 719,222, 1,078,884.84 and 275,990 is: 414,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,222 : 1,078,884.84 = 275,990 : x
  2. Step 2: Convert to fraction form
    719,222/1,078,884.84 = 275,990/x
  3. Step 3: Cross multiply
    719,222x = 1,078,884.84 × 275,990
  4. Step 4: Simplify right side
    719,222x = 297,761,426,991.60
  5. Step 5: Solve for x
    x = 297,761,426,991.60/719,222
  6. Step 6: Final answer
    x = 414,004.89

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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.