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Finding the Fourth Proportional to 496,678.08, 685,339.52 and 278,898

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Solution

The fourth proportional to 496,678.08, 685,339.52 and 278,898 is: 384,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,678.08 : 685,339.52 = 278,898 : x
  2. Step 2: Convert to fraction form
    496,678.08/685,339.52 = 278,898/x
  3. Step 3: Cross multiply
    496,678.08x = 685,339.52 × 278,898
  4. Step 4: Simplify right side
    496,678.08x = 191,139,821,448.96
  5. Step 5: Solve for x
    x = 191,139,821,448.96/496,678.08
  6. Step 6: Final answer
    x = 384,836.43

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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.