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Finding the Fourth Proportional to 511,597.48, 706,450.26 and 320,938.60

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Solution

The fourth proportional to 511,597.48, 706,450.26 and 320,938.60 is: 443,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,597.48 : 706,450.26 = 320,938.60 : x
  2. Step 2: Convert to fraction form
    511,597.48/706,450.26 = 320,938.60/x
  3. Step 3: Cross multiply
    511,597.48x = 706,450.26 × 320,938.60
  4. Step 4: Simplify right side
    511,597.48x = 226,727,157,414.04
  5. Step 5: Solve for x
    x = 226,727,157,414.04/511,597.48
  6. Step 6: Final answer
    x = 443,174.89

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1.5x scale

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.