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Finding the Fourth Proportional to 650,745.60, 976,533.12 and 276,768

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Solution

The fourth proportional to 650,745.60, 976,533.12 and 276,768 is: 415,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,745.60 : 976,533.12 = 276,768 : x
  2. Step 2: Convert to fraction form
    650,745.60/976,533.12 = 276,768/x
  3. Step 3: Cross multiply
    650,745.60x = 976,533.12 × 276,768
  4. Step 4: Simplify right side
    650,745.60x = 270,273,118,556.16
  5. Step 5: Solve for x
    x = 270,273,118,556.16/650,745.60
  6. Step 6: Final answer
    x = 415,328.38

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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.