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Finding the Fourth Proportional to 407,650.86, 561,632.49 and 315,453.08

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Solution

The fourth proportional to 407,650.86, 561,632.49 and 315,453.08 is: 434,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,650.86 : 561,632.49 = 315,453.08 : x
  2. Step 2: Convert to fraction form
    407,650.86/561,632.49 = 315,453.08/x
  3. Step 3: Cross multiply
    407,650.86x = 561,632.49 × 315,453.08
  4. Step 4: Simplify right side
    407,650.86x = 177,168,698,096.53
  5. Step 5: Solve for x
    x = 177,168,698,096.53/407,650.86
  6. Step 6: Final answer
    x = 434,608.92

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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.