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Finding the Fourth Proportional to 407,256.58, 561,871.14 and 235,169.65

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Solution

The fourth proportional to 407,256.58, 561,871.14 and 235,169.65 is: 324,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,256.58 : 561,871.14 = 235,169.65 : x
  2. Step 2: Convert to fraction form
    407,256.58/561,871.14 = 235,169.65/x
  3. Step 3: Cross multiply
    407,256.58x = 561,871.14 × 235,169.65
  4. Step 4: Simplify right side
    407,256.58x = 132,135,036,529.55
  5. Step 5: Solve for x
    x = 132,135,036,529.55/407,256.58
  6. Step 6: Final answer
    x = 324,451.57

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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.