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Finding the Fourth Proportional to 407,014.89, 561,642.93 and 225,723.48

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Solution

The fourth proportional to 407,014.89, 561,642.93 and 225,723.48 is: 311,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,014.89 : 561,642.93 = 225,723.48 : x
  2. Step 2: Convert to fraction form
    407,014.89/561,642.93 = 225,723.48/x
  3. Step 3: Cross multiply
    407,014.89x = 561,642.93 × 225,723.48
  4. Step 4: Simplify right side
    407,014.89x = 126,775,996,677.00
  5. Step 5: Solve for x
    x = 126,775,996,677.00/407,014.89
  6. Step 6: Final answer
    x = 311,477.54

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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.