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Finding the Fourth Proportional to 505,163.80, 697,216.35 and 301,227.85

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Solution

The fourth proportional to 505,163.80, 697,216.35 and 301,227.85 is: 415,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,163.80 : 697,216.35 = 301,227.85 : x
  2. Step 2: Convert to fraction form
    505,163.80/697,216.35 = 301,227.85/x
  3. Step 3: Cross multiply
    505,163.80x = 697,216.35 × 301,227.85
  4. Step 4: Simplify right side
    505,163.80x = 210,020,982,095.35
  5. Step 5: Solve for x
    x = 210,020,982,095.35/505,163.80
  6. Step 6: Final answer
    x = 415,748.28

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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.