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Finding the Fourth Proportional to 533,212.65, 800,020.98 and 320,129.36

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Solution

The fourth proportional to 533,212.65, 800,020.98 and 320,129.36 is: 480,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,212.65 : 800,020.98 = 320,129.36 : x
  2. Step 2: Convert to fraction form
    533,212.65/800,020.98 = 320,129.36/x
  3. Step 3: Cross multiply
    533,212.65x = 800,020.98 × 320,129.36
  4. Step 4: Simplify right side
    533,212.65x = 256,110,200,313.87
  5. Step 5: Solve for x
    x = 256,110,200,313.87/533,212.65
  6. Step 6: Final answer
    x = 480,315.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.