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Finding the Fourth Proportional to 505,016.74, 697,846.98 and 480,415.42

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Solution

The fourth proportional to 505,016.74, 697,846.98 and 480,415.42 is: 663,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,016.74 : 697,846.98 = 480,415.42 : x
  2. Step 2: Convert to fraction form
    505,016.74/697,846.98 = 480,415.42/x
  3. Step 3: Cross multiply
    505,016.74x = 697,846.98 × 480,415.42
  4. Step 4: Simplify right side
    505,016.74x = 335,256,449,992.43
  5. Step 5: Solve for x
    x = 335,256,449,992.43/505,016.74
  6. Step 6: Final answer
    x = 663,852.15

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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.