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Finding the Fourth Proportional to 389,610.40, 584,415.60 and 223,722.40

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Solution

The fourth proportional to 389,610.40, 584,415.60 and 223,722.40 is: 335,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,610.40 : 584,415.60 = 223,722.40 : x
  2. Step 2: Convert to fraction form
    389,610.40/584,415.60 = 223,722.40/x
  3. Step 3: Cross multiply
    389,610.40x = 584,415.60 × 223,722.40
  4. Step 4: Simplify right side
    389,610.40x = 130,746,860,629.44
  5. Step 5: Solve for x
    x = 130,746,860,629.44/389,610.40
  6. Step 6: Final answer
    x = 335,583.60

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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.