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Finding the Fourth Proportional to 410,283.82, 615,111.81 and 338,982.04

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Solution

The fourth proportional to 410,283.82, 615,111.81 and 338,982.04 is: 508,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,283.82 : 615,111.81 = 338,982.04 : x
  2. Step 2: Convert to fraction form
    410,283.82/615,111.81 = 338,982.04/x
  3. Step 3: Cross multiply
    410,283.82x = 615,111.81 × 338,982.04
  4. Step 4: Simplify right side
    410,283.82x = 208,511,856,181.89
  5. Step 5: Solve for x
    x = 208,511,856,181.89/410,283.82
  6. Step 6: Final answer
    x = 508,213.70

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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.