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Finding the Fourth Proportional to 410,121.55, 615,496.32 and 185,639.64

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Solution

The fourth proportional to 410,121.55, 615,496.32 and 185,639.64 is: 278,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,121.55 : 615,496.32 = 185,639.64 : x
  2. Step 2: Convert to fraction form
    410,121.55/615,496.32 = 185,639.64/x
  3. Step 3: Cross multiply
    410,121.55x = 615,496.32 × 185,639.64
  4. Step 4: Simplify right side
    410,121.55x = 114,260,512,958.01
  5. Step 5: Solve for x
    x = 114,260,512,958.01/410,121.55
  6. Step 6: Final answer
    x = 278,601.58

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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.