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Finding the Fourth Proportional to 525,876.57, 789,169.78 and 205,988.76

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Solution

The fourth proportional to 525,876.57, 789,169.78 and 205,988.76 is: 309,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,876.57 : 789,169.78 = 205,988.76 : x
  2. Step 2: Convert to fraction form
    525,876.57/789,169.78 = 205,988.76/x
  3. Step 3: Cross multiply
    525,876.57x = 789,169.78 × 205,988.76
  4. Step 4: Simplify right side
    525,876.57x = 162,560,104,283.57
  5. Step 5: Solve for x
    x = 162,560,104,283.57/525,876.57
  6. Step 6: Final answer
    x = 309,122.17

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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.