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Finding the Fourth Proportional to 385,034.76, 531,134.70 and 223,872

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Solution

The fourth proportional to 385,034.76, 531,134.70 and 223,872 is: 308,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,034.76 : 531,134.70 = 223,872 : x
  2. Step 2: Convert to fraction form
    385,034.76/531,134.70 = 223,872/x
  3. Step 3: Cross multiply
    385,034.76x = 531,134.70 × 223,872
  4. Step 4: Simplify right side
    385,034.76x = 118,906,187,558.40
  5. Step 5: Solve for x
    x = 118,906,187,558.40/385,034.76
  6. Step 6: Final answer
    x = 308,819.36

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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.