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Finding the Fourth Proportional to 311,133, 466,699.50 and 89,517

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Solution

The fourth proportional to 311,133, 466,699.50 and 89,517 is: 134,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,133 : 466,699.50 = 89,517 : x
  2. Step 2: Convert to fraction form
    311,133/466,699.50 = 89,517/x
  3. Step 3: Cross multiply
    311,133x = 466,699.50 × 89,517
  4. Step 4: Simplify right side
    311,133x = 41,777,539,141.50
  5. Step 5: Solve for x
    x = 41,777,539,141.50/311,133
  6. Step 6: Final answer
    x = 134,275.50

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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.