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Finding the Fourth Proportional to 815,970, 1,126,144.20 and 458,274

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Solution

The fourth proportional to 815,970, 1,126,144.20 and 458,274 is: 632,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,970 : 1,126,144.20 = 458,274 : x
  2. Step 2: Convert to fraction form
    815,970/1,126,144.20 = 458,274/x
  3. Step 3: Cross multiply
    815,970x = 1,126,144.20 × 458,274
  4. Step 4: Simplify right side
    815,970x = 516,082,607,110.80
  5. Step 5: Solve for x
    x = 516,082,607,110.80/815,970
  6. Step 6: Final answer
    x = 632,477.43

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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.