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Finding the Fourth Proportional to 618,548.58, 926,247.83 and 407,546.82

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Solution

The fourth proportional to 618,548.58, 926,247.83 and 407,546.82 is: 610,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,548.58 : 926,247.83 = 407,546.82 : x
  2. Step 2: Convert to fraction form
    618,548.58/926,247.83 = 407,546.82/x
  3. Step 3: Cross multiply
    618,548.58x = 926,247.83 × 407,546.82
  4. Step 4: Simplify right side
    618,548.58x = 377,489,355,610.67
  5. Step 5: Solve for x
    x = 377,489,355,610.67/618,548.58
  6. Step 6: Final answer
    x = 610,282.47

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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.