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Finding the Fourth Proportional to 412,303.36, 618,296.64 and 146,014.72

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Solution

The fourth proportional to 412,303.36, 618,296.64 and 146,014.72 is: 218,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,303.36 : 618,296.64 = 146,014.72 : x
  2. Step 2: Convert to fraction form
    412,303.36/618,296.64 = 146,014.72/x
  3. Step 3: Cross multiply
    412,303.36x = 618,296.64 × 146,014.72
  4. Step 4: Simplify right side
    412,303.36x = 90,280,410,766.54
  5. Step 5: Solve for x
    x = 90,280,410,766.54/412,303.36
  6. Step 6: Final answer
    x = 218,965.98

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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.