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Finding the Fourth Proportional to 719,226, 1,078,890.84 and 275,994

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Solution

The fourth proportional to 719,226, 1,078,890.84 and 275,994 is: 414,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,226 : 1,078,890.84 = 275,994 : x
  2. Step 2: Convert to fraction form
    719,226/1,078,890.84 = 275,994/x
  3. Step 3: Cross multiply
    719,226x = 1,078,890.84 × 275,994
  4. Step 4: Simplify right side
    719,226x = 297,767,398,494.96
  5. Step 5: Solve for x
    x = 297,767,398,494.96/719,226
  6. Step 6: Final answer
    x = 414,010.89

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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.