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Finding the Fourth Proportional to 505,296.77, 697,311.05 and 275,854.41

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Solution

The fourth proportional to 505,296.77, 697,311.05 and 275,854.41 is: 380,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,296.77 : 697,311.05 = 275,854.41 : x
  2. Step 2: Convert to fraction form
    505,296.77/697,311.05 = 275,854.41/x
  3. Step 3: Cross multiply
    505,296.77x = 697,311.05 × 275,854.41
  4. Step 4: Simplify right side
    505,296.77x = 192,356,326,904.96
  5. Step 5: Solve for x
    x = 192,356,326,904.96/505,296.77
  6. Step 6: Final answer
    x = 380,679.91

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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.