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Finding the Fourth Proportional to 311,937.60, 468,125.10 and 199,890.30

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Solution

The fourth proportional to 311,937.60, 468,125.10 and 199,890.30 is: 299,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,937.60 : 468,125.10 = 199,890.30 : x
  2. Step 2: Convert to fraction form
    311,937.60/468,125.10 = 199,890.30/x
  3. Step 3: Cross multiply
    311,937.60x = 468,125.10 × 199,890.30
  4. Step 4: Simplify right side
    311,937.60x = 93,573,666,676.53
  5. Step 5: Solve for x
    x = 93,573,666,676.53/311,937.60
  6. Step 6: Final answer
    x = 299,975.59

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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.