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Finding the Fourth Proportional to 253,449, 380,173.50 and 66,460.50

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Solution

The fourth proportional to 253,449, 380,173.50 and 66,460.50 is: 99,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,449 : 380,173.50 = 66,460.50 : x
  2. Step 2: Convert to fraction form
    253,449/380,173.50 = 66,460.50/x
  3. Step 3: Cross multiply
    253,449x = 380,173.50 × 66,460.50
  4. Step 4: Simplify right side
    253,449x = 25,266,520,896.75
  5. Step 5: Solve for x
    x = 25,266,520,896.75/253,449
  6. Step 6: Final answer
    x = 99,690.75

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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.