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Finding the Fourth Proportional to 410,780, 615,163.60 and 339,265.04

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Solution

The fourth proportional to 410,780, 615,163.60 and 339,265.04 is: 508,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,780 : 615,163.60 = 339,265.04 : x
  2. Step 2: Convert to fraction form
    410,780/615,163.60 = 339,265.04/x
  3. Step 3: Cross multiply
    410,780x = 615,163.60 × 339,265.04
  4. Step 4: Simplify right side
    410,780x = 208,703,503,360.54
  5. Step 5: Solve for x
    x = 208,703,503,360.54/410,780
  6. Step 6: Final answer
    x = 508,066.37

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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.