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Finding the Fourth Proportional to 426,647.20, 638,415.60 and 389,322.40

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Solution

The fourth proportional to 426,647.20, 638,415.60 and 389,322.40 is: 582,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,647.20 : 638,415.60 = 389,322.40 : x
  2. Step 2: Convert to fraction form
    426,647.20/638,415.60 = 389,322.40/x
  3. Step 3: Cross multiply
    426,647.20x = 638,415.60 × 389,322.40
  4. Step 4: Simplify right side
    426,647.20x = 248,549,493,589.44
  5. Step 5: Solve for x
    x = 248,549,493,589.44/426,647.20
  6. Step 6: Final answer
    x = 582,564.46

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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.