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Finding the Fourth Proportional to 505,383.12, 697,417.83 and 275,931.54

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Solution

The fourth proportional to 505,383.12, 697,417.83 and 275,931.54 is: 380,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,383.12 : 697,417.83 = 275,931.54 : x
  2. Step 2: Convert to fraction form
    505,383.12/697,417.83 = 275,931.54/x
  3. Step 3: Cross multiply
    505,383.12x = 697,417.83 × 275,931.54
  4. Step 4: Simplify right side
    505,383.12x = 192,439,575,855.36
  5. Step 5: Solve for x
    x = 192,439,575,855.36/505,383.12
  6. Step 6: Final answer
    x = 380,779.59

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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.