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Finding the Fourth Proportional to 312,532.80, 468,799.20 and 299,410.80

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Solution

The fourth proportional to 312,532.80, 468,799.20 and 299,410.80 is: 449,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,532.80 : 468,799.20 = 299,410.80 : x
  2. Step 2: Convert to fraction form
    312,532.80/468,799.20 = 299,410.80/x
  3. Step 3: Cross multiply
    312,532.80x = 468,799.20 × 299,410.80
  4. Step 4: Simplify right side
    312,532.80x = 140,363,543,511.36
  5. Step 5: Solve for x
    x = 140,363,543,511.36/312,532.80
  6. Step 6: Final answer
    x = 449,116.20

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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.