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Finding the Fourth Proportional to 407,651.36, 561,633.18 and 315,453.58

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Solution

The fourth proportional to 407,651.36, 561,633.18 and 315,453.58 is: 434,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,651.36 : 561,633.18 = 315,453.58 : x
  2. Step 2: Convert to fraction form
    407,651.36/561,633.18 = 315,453.58/x
  3. Step 3: Cross multiply
    407,651.36x = 561,633.18 × 315,453.58
  4. Step 4: Simplify right side
    407,651.36x = 177,169,197,277.78
  5. Step 5: Solve for x
    x = 177,169,197,277.78/407,651.36
  6. Step 6: Final answer
    x = 434,609.61

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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.