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Finding the Fourth Proportional to 504,978.75, 696,885.27 and 278,638.83

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Solution

The fourth proportional to 504,978.75, 696,885.27 and 278,638.83 is: 384,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,978.75 : 696,885.27 = 278,638.83 : x
  2. Step 2: Convert to fraction form
    504,978.75/696,885.27 = 278,638.83/x
  3. Step 3: Cross multiply
    504,978.75x = 696,885.27 × 278,638.83
  4. Step 4: Simplify right side
    504,978.75x = 194,179,295,232.14
  5. Step 5: Solve for x
    x = 194,179,295,232.14/504,978.75
  6. Step 6: Final answer
    x = 384,529.64

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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.