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Finding the Fourth Proportional to 505,221, 697,205.04 and 278,866.56

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Solution

The fourth proportional to 505,221, 697,205.04 and 278,866.56 is: 384,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,221 : 697,205.04 = 278,866.56 : x
  2. Step 2: Convert to fraction form
    505,221/697,205.04 = 278,866.56/x
  3. Step 3: Cross multiply
    505,221x = 697,205.04 × 278,866.56
  4. Step 4: Simplify right side
    505,221x = 194,427,171,119.46
  5. Step 5: Solve for x
    x = 194,427,171,119.46/505,221
  6. Step 6: Final answer
    x = 384,835.89

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1.5x scale

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.