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Finding the Fourth Proportional to 273,403.62, 377,288.10 and 149,219.82

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Solution

The fourth proportional to 273,403.62, 377,288.10 and 149,219.82 is: 205,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,403.62 : 377,288.10 = 149,219.82 : x
  2. Step 2: Convert to fraction form
    273,403.62/377,288.10 = 149,219.82/x
  3. Step 3: Cross multiply
    273,403.62x = 377,288.10 × 149,219.82
  4. Step 4: Simplify right side
    273,403.62x = 56,298,862,370.14
  5. Step 5: Solve for x
    x = 56,298,862,370.14/273,403.62
  6. Step 6: Final answer
    x = 205,918.50

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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.