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Finding the Fourth Proportional to 407,083.37, 561,842.28 and 225,853.65

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Solution

The fourth proportional to 407,083.37, 561,842.28 and 225,853.65 is: 311,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,083.37 : 561,842.28 = 225,853.65 : x
  2. Step 2: Convert to fraction form
    407,083.37/561,842.28 = 225,853.65/x
  3. Step 3: Cross multiply
    407,083.37x = 561,842.28 × 225,853.65
  4. Step 4: Simplify right side
    407,083.37x = 126,894,129,662.32
  5. Step 5: Solve for x
    x = 126,894,129,662.32/407,083.37
  6. Step 6: Final answer
    x = 311,715.34

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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.