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Finding the Fourth Proportional to 504,362, 696,019.56 and 278,012.36

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Solution

The fourth proportional to 504,362, 696,019.56 and 278,012.36 is: 383,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,362 : 696,019.56 = 278,012.36 : x
  2. Step 2: Convert to fraction form
    504,362/696,019.56 = 278,012.36/x
  3. Step 3: Cross multiply
    504,362x = 696,019.56 × 278,012.36
  4. Step 4: Simplify right side
    504,362x = 193,502,040,481.76
  5. Step 5: Solve for x
    x = 193,502,040,481.76/504,362
  6. Step 6: Final answer
    x = 383,657.06

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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.