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Finding the Fourth Proportional to 305,474.07, 458,546.31 and 242,697.72

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Solution

The fourth proportional to 305,474.07, 458,546.31 and 242,697.72 is: 364,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,474.07 : 458,546.31 = 242,697.72 : x
  2. Step 2: Convert to fraction form
    305,474.07/458,546.31 = 242,697.72/x
  3. Step 3: Cross multiply
    305,474.07x = 458,546.31 × 242,697.72
  4. Step 4: Simplify right side
    305,474.07x = 111,288,143,951.41
  5. Step 5: Solve for x
    x = 111,288,143,951.41/305,474.07
  6. Step 6: Final answer
    x = 364,312.90

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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.