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Finding the Fourth Proportional to 311,136.30, 466,376.40 and 121,523.40

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Solution

The fourth proportional to 311,136.30, 466,376.40 and 121,523.40 is: 182,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,136.30 : 466,376.40 = 121,523.40 : x
  2. Step 2: Convert to fraction form
    311,136.30/466,376.40 = 121,523.40/x
  3. Step 3: Cross multiply
    311,136.30x = 466,376.40 × 121,523.40
  4. Step 4: Simplify right side
    311,136.30x = 56,675,645,807.76
  5. Step 5: Solve for x
    x = 56,675,645,807.76/311,136.30
  6. Step 6: Final answer
    x = 182,156.97

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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.