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Finding the Fourth Proportional to 548,842.40, 821,708.40 and 492,855.20

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Solution

The fourth proportional to 548,842.40, 821,708.40 and 492,855.20 is: 737,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,842.40 : 821,708.40 = 492,855.20 : x
  2. Step 2: Convert to fraction form
    548,842.40/821,708.40 = 492,855.20/x
  3. Step 3: Cross multiply
    548,842.40x = 821,708.40 × 492,855.20
  4. Step 4: Simplify right side
    548,842.40x = 404,983,257,823.68
  5. Step 5: Solve for x
    x = 404,983,257,823.68/548,842.40
  6. Step 6: Final answer
    x = 737,886.25

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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.