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Finding the Fourth Proportional to 505,736.30, 697,929.78 and 301,905.50

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Solution

The fourth proportional to 505,736.30, 697,929.78 and 301,905.50 is: 416,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,736.30 : 697,929.78 = 301,905.50 : x
  2. Step 2: Convert to fraction form
    505,736.30/697,929.78 = 301,905.50/x
  3. Step 3: Cross multiply
    505,736.30x = 697,929.78 × 301,905.50
  4. Step 4: Simplify right side
    505,736.30x = 210,708,839,195.79
  5. Step 5: Solve for x
    x = 210,708,839,195.79/505,736.30
  6. Step 6: Final answer
    x = 416,637.76

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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.