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Finding the Fourth Proportional to 312,158.80, 468,367.80 and 199,965.52

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Solution

The fourth proportional to 312,158.80, 468,367.80 and 199,965.52 is: 300,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,158.80 : 468,367.80 = 199,965.52 : x
  2. Step 2: Convert to fraction form
    312,158.80/468,367.80 = 199,965.52/x
  3. Step 3: Cross multiply
    312,158.80x = 468,367.80 × 199,965.52
  4. Step 4: Simplify right side
    312,158.80x = 93,657,410,678.26
  5. Step 5: Solve for x
    x = 93,657,410,678.26/312,158.80
  6. Step 6: Final answer
    x = 300,031.30

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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.