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Finding the Fourth Proportional to 311,668, 467,579.76 and 90,052

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Solution

The fourth proportional to 311,668, 467,579.76 and 90,052 is: 135,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,668 : 467,579.76 = 90,052 : x
  2. Step 2: Convert to fraction form
    311,668/467,579.76 = 90,052/x
  3. Step 3: Cross multiply
    311,668x = 467,579.76 × 90,052
  4. Step 4: Simplify right side
    311,668x = 42,106,492,547.52
  5. Step 5: Solve for x
    x = 42,106,492,547.52/311,668
  6. Step 6: Final answer
    x = 135,100.47

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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.