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Finding the Fourth Proportional to 511,905.63, 706,462.79 and 294,184.32

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Solution

The fourth proportional to 511,905.63, 706,462.79 and 294,184.32 is: 405,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,905.63 : 706,462.79 = 294,184.32 : x
  2. Step 2: Convert to fraction form
    511,905.63/706,462.79 = 294,184.32/x
  3. Step 3: Cross multiply
    511,905.63x = 706,462.79 × 294,184.32
  4. Step 4: Simplify right side
    511,905.63x = 207,830,275,481.45
  5. Step 5: Solve for x
    x = 207,830,275,481.45/511,905.63
  6. Step 6: Final answer
    x = 405,993.34

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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.