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Finding the Fourth Proportional to 407,075.59, 561,782.13 and 225,775.31

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Solution

The fourth proportional to 407,075.59, 561,782.13 and 225,775.31 is: 311,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,075.59 : 561,782.13 = 225,775.31 : x
  2. Step 2: Convert to fraction form
    407,075.59/561,782.13 = 225,775.31/x
  3. Step 3: Cross multiply
    407,075.59x = 561,782.13 × 225,775.31
  4. Step 4: Simplify right side
    407,075.59x = 126,836,534,553.21
  5. Step 5: Solve for x
    x = 126,836,534,553.21/407,075.59
  6. Step 6: Final answer
    x = 311,579.81

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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.