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Finding the Fourth Proportional to 505,637.24, 697,774.66 and 276,194.48

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Solution

The fourth proportional to 505,637.24, 697,774.66 and 276,194.48 is: 381,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,637.24 : 697,774.66 = 276,194.48 : x
  2. Step 2: Convert to fraction form
    505,637.24/697,774.66 = 276,194.48/x
  3. Step 3: Cross multiply
    505,637.24x = 697,774.66 × 276,194.48
  4. Step 4: Simplify right side
    505,637.24x = 192,721,509,375.88
  5. Step 5: Solve for x
    x = 192,721,509,375.88/505,637.24
  6. Step 6: Final answer
    x = 381,145.80

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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.