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Finding the Fourth Proportional to 569,450, 785,772.78 and 314,766.56

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Solution

The fourth proportional to 569,450, 785,772.78 and 314,766.56 is: 434,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,450 : 785,772.78 = 314,766.56 : x
  2. Step 2: Convert to fraction form
    569,450/785,772.78 = 314,766.56/x
  3. Step 3: Cross multiply
    569,450x = 785,772.78 × 314,766.56
  4. Step 4: Simplify right side
    569,450x = 247,334,994,902.24
  5. Step 5: Solve for x
    x = 247,334,994,902.24/569,450
  6. Step 6: Final answer
    x = 434,340.14

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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.