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Finding the Fourth Proportional to 410,835.76, 615,830.82 and 200,213.08

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Solution

The fourth proportional to 410,835.76, 615,830.82 and 200,213.08 is: 300,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,835.76 : 615,830.82 = 200,213.08 : x
  2. Step 2: Convert to fraction form
    410,835.76/615,830.82 = 200,213.08/x
  3. Step 3: Cross multiply
    410,835.76x = 615,830.82 × 200,213.08
  4. Step 4: Simplify right side
    410,835.76x = 123,297,385,231.13
  5. Step 5: Solve for x
    x = 123,297,385,231.13/410,835.76
  6. Step 6: Final answer
    x = 300,113.57

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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.