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Finding the Fourth Proportional to 511,780, 706,256.44 and 285,420.64

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Solution

The fourth proportional to 511,780, 706,256.44 and 285,420.64 is: 393,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,780 : 706,256.44 = 285,420.64 : x
  2. Step 2: Convert to fraction form
    511,780/706,256.44 = 285,420.64/x
  3. Step 3: Cross multiply
    511,780x = 706,256.44 × 285,420.64
  4. Step 4: Simplify right side
    511,780x = 201,580,165,108.92
  5. Step 5: Solve for x
    x = 201,580,165,108.92/511,780
  6. Step 6: Final answer
    x = 393,880.51

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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.