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Finding the Fourth Proportional to 407,075.70, 561,744.66 and 225,771.57

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Solution

The fourth proportional to 407,075.70, 561,744.66 and 225,771.57 is: 311,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,075.70 : 561,744.66 = 225,771.57 : x
  2. Step 2: Convert to fraction form
    407,075.70/561,744.66 = 225,771.57/x
  3. Step 3: Cross multiply
    407,075.70x = 561,744.66 × 225,771.57
  4. Step 4: Simplify right side
    407,075.70x = 126,825,973,827.32
  5. Step 5: Solve for x
    x = 126,825,973,827.32/407,075.70
  6. Step 6: Final answer
    x = 311,553.78

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1.5x scale

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.