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Finding the Fourth Proportional to 533,213.65, 800,022.48 and 320,130.36

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Solution

The fourth proportional to 533,213.65, 800,022.48 and 320,130.36 is: 480,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,213.65 : 800,022.48 = 320,130.36 : x
  2. Step 2: Convert to fraction form
    533,213.65/800,022.48 = 320,130.36/x
  3. Step 3: Cross multiply
    533,213.65x = 800,022.48 × 320,130.36
  4. Step 4: Simplify right side
    533,213.65x = 256,111,484,530.49
  5. Step 5: Solve for x
    x = 256,111,484,530.49/533,213.65
  6. Step 6: Final answer
    x = 480,316.82

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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.