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Finding the Fourth Proportional to 300,400,412.80, 449,928,772.80 and 246,652,700.80

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Solution

The fourth proportional to 300,400,412.80, 449,928,772.80 and 246,652,700.80 is: 369,427,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,400,412.80 : 449,928,772.80 = 246,652,700.80 : x
  2. Step 2: Convert to fraction form
    300,400,412.80/449,928,772.80 = 246,652,700.80/x
  3. Step 3: Cross multiply
    300,400,412.80x = 449,928,772.80 × 246,652,700.80
  4. Step 4: Simplify right side
    300,400,412.80x = 110,976,146,978,749,584
  5. Step 5: Solve for x
    x = 110,976,146,978,749,584/300,400,412.80
  6. Step 6: Final answer
    x = 369,427,411.71

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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.