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Finding the Fourth Proportional to 683,939.24, 943,885 and 378,009.06

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Solution

The fourth proportional to 683,939.24, 943,885 and 378,009.06 is: 521,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,939.24 : 943,885 = 378,009.06 : x
  2. Step 2: Convert to fraction form
    683,939.24/943,885 = 378,009.06/x
  3. Step 3: Cross multiply
    683,939.24x = 943,885 × 378,009.06
  4. Step 4: Simplify right side
    683,939.24x = 356,797,081,598.10
  5. Step 5: Solve for x
    x = 356,797,081,598.10/683,939.24
  6. Step 6: Final answer
    x = 521,679.50

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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.