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Finding the Fourth Proportional to 505,394.88, 697,414.92 and 275,906.40

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Solution

The fourth proportional to 505,394.88, 697,414.92 and 275,906.40 is: 380,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,394.88 : 697,414.92 = 275,906.40 : x
  2. Step 2: Convert to fraction form
    505,394.88/697,414.92 = 275,906.40/x
  3. Step 3: Cross multiply
    505,394.88x = 697,414.92 × 275,906.40
  4. Step 4: Simplify right side
    505,394.88x = 192,421,239,883.49
  5. Step 5: Solve for x
    x = 192,421,239,883.49/505,394.88
  6. Step 6: Final answer
    x = 380,734.45

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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.