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Finding the Fourth Proportional to 505,303.36, 697,314.36 and 278,944

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Solution

The fourth proportional to 505,303.36, 697,314.36 and 278,944 is: 384,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,303.36 : 697,314.36 = 278,944 : x
  2. Step 2: Convert to fraction form
    505,303.36/697,314.36 = 278,944/x
  3. Step 3: Cross multiply
    505,303.36x = 697,314.36 × 278,944
  4. Step 4: Simplify right side
    505,303.36x = 194,511,656,835.84
  5. Step 5: Solve for x
    x = 194,511,656,835.84/505,303.36
  6. Step 6: Final answer
    x = 384,940.36

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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.