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Finding the Fourth Proportional to 311,937.30, 468,015.30 and 112,264.20

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Solution

The fourth proportional to 311,937.30, 468,015.30 and 112,264.20 is: 168,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,937.30 : 468,015.30 = 112,264.20 : x
  2. Step 2: Convert to fraction form
    311,937.30/468,015.30 = 112,264.20/x
  3. Step 3: Cross multiply
    311,937.30x = 468,015.30 × 112,264.20
  4. Step 4: Simplify right side
    311,937.30x = 52,541,363,242.26
  5. Step 5: Solve for x
    x = 52,541,363,242.26/311,937.30
  6. Step 6: Final answer
    x = 168,435.65

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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.