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Finding the Fourth Proportional to 511,256.72, 705,909.84 and 330,074.48

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Solution

The fourth proportional to 511,256.72, 705,909.84 and 330,074.48 is: 455,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,256.72 : 705,909.84 = 330,074.48 : x
  2. Step 2: Convert to fraction form
    511,256.72/705,909.84 = 330,074.48/x
  3. Step 3: Cross multiply
    511,256.72x = 705,909.84 × 330,074.48
  4. Step 4: Simplify right side
    511,256.72x = 233,002,823,364.88
  5. Step 5: Solve for x
    x = 233,002,823,364.88/511,256.72
  6. Step 6: Final answer
    x = 455,745.25

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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.