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Finding the Fourth Proportional to 363,729.20, 546,760.20 and 259,271.60

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Solution

The fourth proportional to 363,729.20, 546,760.20 and 259,271.60 is: 389,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,729.20 : 546,760.20 = 259,271.60 : x
  2. Step 2: Convert to fraction form
    363,729.20/546,760.20 = 259,271.60/x
  3. Step 3: Cross multiply
    363,729.20x = 546,760.20 × 259,271.60
  4. Step 4: Simplify right side
    363,729.20x = 141,759,391,870.32
  5. Step 5: Solve for x
    x = 141,759,391,870.32/363,729.20
  6. Step 6: Final answer
    x = 389,738.83

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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.