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Finding the Fourth Proportional to 505,669.50, 697,824 and 279,329.58

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Solution

The fourth proportional to 505,669.50, 697,824 and 279,329.58 is: 385,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,669.50 : 697,824 = 279,329.58 : x
  2. Step 2: Convert to fraction form
    505,669.50/697,824 = 279,329.58/x
  3. Step 3: Cross multiply
    505,669.50x = 697,824 × 279,329.58
  4. Step 4: Simplify right side
    505,669.50x = 194,922,884,833.92
  5. Step 5: Solve for x
    x = 194,922,884,833.92/505,669.50
  6. Step 6: Final answer
    x = 385,474.87

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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.