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Finding the Fourth Proportional to 648,843.40, 972,652.56 and 312,074.56

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Solution

The fourth proportional to 648,843.40, 972,652.56 and 312,074.56 is: 467,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,843.40 : 972,652.56 = 312,074.56 : x
  2. Step 2: Convert to fraction form
    648,843.40/972,652.56 = 312,074.56/x
  3. Step 3: Cross multiply
    648,843.40x = 972,652.56 × 312,074.56
  4. Step 4: Simplify right side
    648,843.40x = 303,540,119,694.87
  5. Step 5: Solve for x
    x = 303,540,119,694.87/648,843.40
  6. Step 6: Final answer
    x = 467,817.23

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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.