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Finding the Fourth Proportional to 412,509.66, 569,289.64 and 231,221.64

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Solution

The fourth proportional to 412,509.66, 569,289.64 and 231,221.64 is: 319,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,509.66 : 569,289.64 = 231,221.64 : x
  2. Step 2: Convert to fraction form
    412,509.66/569,289.64 = 231,221.64/x
  3. Step 3: Cross multiply
    412,509.66x = 569,289.64 × 231,221.64
  4. Step 4: Simplify right side
    412,509.66x = 131,632,084,195.81
  5. Step 5: Solve for x
    x = 131,632,084,195.81/412,509.66
  6. Step 6: Final answer
    x = 319,100.61

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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.