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Finding the Fourth Proportional to 504,863.06, 696,699.81 and 278,508.50

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Solution

The fourth proportional to 504,863.06, 696,699.81 and 278,508.50 is: 384,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,863.06 : 696,699.81 = 278,508.50 : x
  2. Step 2: Convert to fraction form
    504,863.06/696,699.81 = 278,508.50/x
  3. Step 3: Cross multiply
    504,863.06x = 696,699.81 × 278,508.50
  4. Step 4: Simplify right side
    504,863.06x = 194,036,819,033.39
  5. Step 5: Solve for x
    x = 194,036,819,033.39/504,863.06
  6. Step 6: Final answer
    x = 384,335.54

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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.