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Finding the Fourth Proportional to 407,114.91, 561,816.51 and 225,824.96

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Solution

The fourth proportional to 407,114.91, 561,816.51 and 225,824.96 is: 311,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,114.91 : 561,816.51 = 225,824.96 : x
  2. Step 2: Convert to fraction form
    407,114.91/561,816.51 = 225,824.96/x
  3. Step 3: Cross multiply
    407,114.91x = 561,816.51 × 225,824.96
  4. Step 4: Simplify right side
    407,114.91x = 126,872,191,455.79
  5. Step 5: Solve for x
    x = 126,872,191,455.79/407,114.91
  6. Step 6: Final answer
    x = 311,637.30

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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.