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Finding the Fourth Proportional to 412,133.60, 618,041.64 and 145,844.48

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Solution

The fourth proportional to 412,133.60, 618,041.64 and 145,844.48 is: 218,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,133.60 : 618,041.64 = 145,844.48 : x
  2. Step 2: Convert to fraction form
    412,133.60/618,041.64 = 145,844.48/x
  3. Step 3: Cross multiply
    412,133.60x = 618,041.64 × 145,844.48
  4. Step 4: Simplify right side
    412,133.60x = 90,137,961,604.15
  5. Step 5: Solve for x
    x = 90,137,961,604.15/412,133.60
  6. Step 6: Final answer
    x = 218,710.54

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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.