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Finding the Fourth Proportional to 311,133.30, 466,371.90 and 121,520.40

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Solution

The fourth proportional to 311,133.30, 466,371.90 and 121,520.40 is: 182,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,133.30 : 466,371.90 = 121,520.40 : x
  2. Step 2: Convert to fraction form
    311,133.30/466,371.90 = 121,520.40/x
  3. Step 3: Cross multiply
    311,133.30x = 466,371.90 × 121,520.40
  4. Step 4: Simplify right side
    311,133.30x = 56,673,699,836.76
  5. Step 5: Solve for x
    x = 56,673,699,836.76/311,133.30
  6. Step 6: Final answer
    x = 182,152.47

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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.