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Finding the Fourth Proportional to 311,898.60, 468,066.60 and 199,851.30

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Solution

The fourth proportional to 311,898.60, 468,066.60 and 199,851.30 is: 299,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,898.60 : 468,066.60 = 199,851.30 : x
  2. Step 2: Convert to fraction form
    311,898.60/468,066.60 = 199,851.30/x
  3. Step 3: Cross multiply
    311,898.60x = 468,066.60 × 199,851.30
  4. Step 4: Simplify right side
    311,898.60x = 93,543,718,496.58
  5. Step 5: Solve for x
    x = 93,543,718,496.58/311,898.60
  6. Step 6: Final answer
    x = 299,917.08

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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.