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Finding the Fourth Proportional to 511,638.48, 706,506.84 and 320,979.60

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Solution

The fourth proportional to 511,638.48, 706,506.84 and 320,979.60 is: 443,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,638.48 : 706,506.84 = 320,979.60 : x
  2. Step 2: Convert to fraction form
    511,638.48/706,506.84 = 320,979.60/x
  3. Step 3: Cross multiply
    511,638.48x = 706,506.84 × 320,979.60
  4. Step 4: Simplify right side
    511,638.48x = 226,774,282,900.46
  5. Step 5: Solve for x
    x = 226,774,282,900.46/511,638.48
  6. Step 6: Final answer
    x = 443,231.48

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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.