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Finding the Fourth Proportional to 420,992, 580,968.96 and 242,144

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Solution

The fourth proportional to 420,992, 580,968.96 and 242,144 is: 334,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,992 : 580,968.96 = 242,144 : x
  2. Step 2: Convert to fraction form
    420,992/580,968.96 = 242,144/x
  3. Step 3: Cross multiply
    420,992x = 580,968.96 × 242,144
  4. Step 4: Simplify right side
    420,992x = 140,678,147,850.24
  5. Step 5: Solve for x
    x = 140,678,147,850.24/420,992
  6. Step 6: Final answer
    x = 334,158.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.