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Finding the Fourth Proportional to 561,524.94, 774,957.78 and 306,914.40

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Solution

The fourth proportional to 561,524.94, 774,957.78 and 306,914.40 is: 423,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,524.94 : 774,957.78 = 306,914.40 : x
  2. Step 2: Convert to fraction form
    561,524.94/774,957.78 = 306,914.40/x
  3. Step 3: Cross multiply
    561,524.94x = 774,957.78 × 306,914.40
  4. Step 4: Simplify right side
    561,524.94x = 237,845,702,074.03
  5. Step 5: Solve for x
    x = 237,845,702,074.03/561,524.94
  6. Step 6: Final answer
    x = 423,571.04

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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.