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Finding the Fourth Proportional to 533,255.25, 800,178.11 and 319,497.87

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Solution

The fourth proportional to 533,255.25, 800,178.11 and 319,497.87 is: 479,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,255.25 : 800,178.11 = 319,497.87 : x
  2. Step 2: Convert to fraction form
    533,255.25/800,178.11 = 319,497.87/x
  3. Step 3: Cross multiply
    533,255.25x = 800,178.11 × 319,497.87
  4. Step 4: Simplify right side
    533,255.25x = 255,655,200,168.14
  5. Step 5: Solve for x
    x = 255,655,200,168.14/533,255.25
  6. Step 6: Final answer
    x = 479,423.69

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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.