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Finding the Fourth Proportional to 680,859, 1,021,196.57 and 281,444.36

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Solution

The fourth proportional to 680,859, 1,021,196.57 and 281,444.36 is: 422,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,859 : 1,021,196.57 = 281,444.36 : x
  2. Step 2: Convert to fraction form
    680,859/1,021,196.57 = 281,444.36/x
  3. Step 3: Cross multiply
    680,859x = 1,021,196.57 × 281,444.36
  4. Step 4: Simplify right side
    680,859x = 287,410,008,564.64
  5. Step 5: Solve for x
    x = 287,410,008,564.64/680,859
  6. Step 6: Final answer
    x = 422,128.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.