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Finding the Fourth Proportional to 800,260.78, 1,201,237 and 782,189.68

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Solution

The fourth proportional to 800,260.78, 1,201,237 and 782,189.68 is: 1,174,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,260.78 : 1,201,237 = 782,189.68 : x
  2. Step 2: Convert to fraction form
    800,260.78/1,201,237 = 782,189.68/x
  3. Step 3: Cross multiply
    800,260.78x = 1,201,237 × 782,189.68
  4. Step 4: Simplify right side
    800,260.78x = 939,595,184,634.16
  5. Step 5: Solve for x
    x = 939,595,184,634.16/800,260.78
  6. Step 6: Final answer
    x = 1,174,111.25

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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.