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Finding the Fourth Proportional to 318,323.52, 478,094.40 and 200,232

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Solution

The fourth proportional to 318,323.52, 478,094.40 and 200,232 is: 300,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,323.52 : 478,094.40 = 200,232 : x
  2. Step 2: Convert to fraction form
    318,323.52/478,094.40 = 200,232/x
  3. Step 3: Cross multiply
    318,323.52x = 478,094.40 × 200,232
  4. Step 4: Simplify right side
    318,323.52x = 95,729,797,900.80
  5. Step 5: Solve for x
    x = 95,729,797,900.80/318,323.52
  6. Step 6: Final answer
    x = 300,731.15

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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.