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Finding the Fourth Proportional to 412,533.80, 618,714.30 and 202,322.60

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Solution

The fourth proportional to 412,533.80, 618,714.30 and 202,322.60 is: 303,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,533.80 : 618,714.30 = 202,322.60 : x
  2. Step 2: Convert to fraction form
    412,533.80/618,714.30 = 202,322.60/x
  3. Step 3: Cross multiply
    412,533.80x = 618,714.30 × 202,322.60
  4. Step 4: Simplify right side
    412,533.80x = 125,179,885,833.18
  5. Step 5: Solve for x
    x = 125,179,885,833.18/412,533.80
  6. Step 6: Final answer
    x = 303,441.53

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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.