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Finding the Fourth Proportional to 253,954.85, 380,598.03 and 141,687.95

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Solution

The fourth proportional to 253,954.85, 380,598.03 and 141,687.95 is: 212,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,954.85 : 380,598.03 = 141,687.95 : x
  2. Step 2: Convert to fraction form
    253,954.85/380,598.03 = 141,687.95/x
  3. Step 3: Cross multiply
    253,954.85x = 380,598.03 × 141,687.95
  4. Step 4: Simplify right side
    253,954.85x = 53,926,152,741.75
  5. Step 5: Solve for x
    x = 53,926,152,741.75/253,954.85
  6. Step 6: Final answer
    x = 212,345.44

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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.