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Finding the Fourth Proportional to 253,452, 380,178 and 66,463.50

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Solution

The fourth proportional to 253,452, 380,178 and 66,463.50 is: 99,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,452 : 380,178 = 66,463.50 : x
  2. Step 2: Convert to fraction form
    253,452/380,178 = 66,463.50/x
  3. Step 3: Cross multiply
    253,452x = 380,178 × 66,463.50
  4. Step 4: Simplify right side
    253,452x = 25,267,960,503
  5. Step 5: Solve for x
    x = 25,267,960,503/253,452
  6. Step 6: Final answer
    x = 99,695.25

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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.