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Finding the Fourth Proportional to 505,162.26, 697,120.47 and 278,807.76

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Solution

The fourth proportional to 505,162.26, 697,120.47 and 278,807.76 is: 384,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,162.26 : 697,120.47 = 278,807.76 : x
  2. Step 2: Convert to fraction form
    505,162.26/697,120.47 = 278,807.76/x
  3. Step 3: Cross multiply
    505,162.26x = 697,120.47 × 278,807.76
  4. Step 4: Simplify right side
    505,162.26x = 194,362,596,690.85
  5. Step 5: Solve for x
    x = 194,362,596,690.85/505,162.26
  6. Step 6: Final answer
    x = 384,752.81

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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.