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Finding the Fourth Proportional to 648,415.20, 973,198.80 and 381,842.40

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Solution

The fourth proportional to 648,415.20, 973,198.80 and 381,842.40 is: 573,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,415.20 : 973,198.80 = 381,842.40 : x
  2. Step 2: Convert to fraction form
    648,415.20/973,198.80 = 381,842.40/x
  3. Step 3: Cross multiply
    648,415.20x = 973,198.80 × 381,842.40
  4. Step 4: Simplify right side
    648,415.20x = 371,608,565,469.12
  5. Step 5: Solve for x
    x = 371,608,565,469.12/648,415.20
  6. Step 6: Final answer
    x = 573,102.80

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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.