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Finding the Fourth Proportional to 378,782.48, 568,026.12 and 141,996

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Solution

The fourth proportional to 378,782.48, 568,026.12 and 141,996 is: 212,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,782.48 : 568,026.12 = 141,996 : x
  2. Step 2: Convert to fraction form
    378,782.48/568,026.12 = 141,996/x
  3. Step 3: Cross multiply
    378,782.48x = 568,026.12 × 141,996
  4. Step 4: Simplify right side
    378,782.48x = 80,657,436,935.52
  5. Step 5: Solve for x
    x = 80,657,436,935.52/378,782.48
  6. Step 6: Final answer
    x = 212,938.67

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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.