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Finding the Fourth Proportional to 511,330.88, 705,626.16 and 278,759.36

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Solution

The fourth proportional to 511,330.88, 705,626.16 and 278,759.36 is: 384,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,330.88 : 705,626.16 = 278,759.36 : x
  2. Step 2: Convert to fraction form
    511,330.88/705,626.16 = 278,759.36/x
  3. Step 3: Cross multiply
    511,330.88x = 705,626.16 × 278,759.36
  4. Step 4: Simplify right side
    511,330.88x = 196,699,896,760.86
  5. Step 5: Solve for x
    x = 196,699,896,760.86/511,330.88
  6. Step 6: Final answer
    x = 384,682.22

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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.