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Finding the Fourth Proportional to 505,790.94, 697,983.35 and 276,343.30

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Solution

The fourth proportional to 505,790.94, 697,983.35 and 276,343.30 is: 381,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,790.94 : 697,983.35 = 276,343.30 : x
  2. Step 2: Convert to fraction form
    505,790.94/697,983.35 = 276,343.30/x
  3. Step 3: Cross multiply
    505,790.94x = 697,983.35 × 276,343.30
  4. Step 4: Simplify right side
    505,790.94x = 192,883,022,284.06
  5. Step 5: Solve for x
    x = 192,883,022,284.06/505,790.94
  6. Step 6: Final answer
    x = 381,349.30

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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.