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Finding the Fourth Proportional to 407,015.39, 561,643.62 and 225,723.98

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Solution

The fourth proportional to 407,015.39, 561,643.62 and 225,723.98 is: 311,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,015.39 : 561,643.62 = 225,723.98 : x
  2. Step 2: Convert to fraction form
    407,015.39/561,643.62 = 225,723.98/x
  3. Step 3: Cross multiply
    407,015.39x = 561,643.62 × 225,723.98
  4. Step 4: Simplify right side
    407,015.39x = 126,776,433,248.01
  5. Step 5: Solve for x
    x = 126,776,433,248.01/407,015.39
  6. Step 6: Final answer
    x = 311,478.23

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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.