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Finding the Fourth Proportional to 410,014.20, 615,021.30 and 298,039.80

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Solution

The fourth proportional to 410,014.20, 615,021.30 and 298,039.80 is: 447,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,014.20 : 615,021.30 = 298,039.80 : x
  2. Step 2: Convert to fraction form
    410,014.20/615,021.30 = 298,039.80/x
  3. Step 3: Cross multiply
    410,014.20x = 615,021.30 × 298,039.80
  4. Step 4: Simplify right side
    410,014.20x = 183,300,825,247.74
  5. Step 5: Solve for x
    x = 183,300,825,247.74/410,014.20
  6. Step 6: Final answer
    x = 447,059.70

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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.