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Finding the Fourth Proportional to 650,323.08, 897,142.74 and 420,954.36

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Solution

The fourth proportional to 650,323.08, 897,142.74 and 420,954.36 is: 580,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,323.08 : 897,142.74 = 420,954.36 : x
  2. Step 2: Convert to fraction form
    650,323.08/897,142.74 = 420,954.36/x
  3. Step 3: Cross multiply
    650,323.08x = 897,142.74 × 420,954.36
  4. Step 4: Simplify right side
    650,323.08x = 377,656,147,945.35
  5. Step 5: Solve for x
    x = 377,656,147,945.35/650,323.08
  6. Step 6: Final answer
    x = 580,720.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.