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Finding the Fourth Proportional to 505,021.50, 696,944.25 and 278,681.58

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Solution

The fourth proportional to 505,021.50, 696,944.25 and 278,681.58 is: 384,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,021.50 : 696,944.25 = 278,681.58 : x
  2. Step 2: Convert to fraction form
    505,021.50/696,944.25 = 278,681.58/x
  3. Step 3: Cross multiply
    505,021.50x = 696,944.25 × 278,681.58
  4. Step 4: Simplify right side
    505,021.50x = 194,225,524,761.92
  5. Step 5: Solve for x
    x = 194,225,524,761.92/505,021.50
  6. Step 6: Final answer
    x = 384,588.63

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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.