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Finding the Fourth Proportional to 410,038.20, 615,057.30 and 394,291.80

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Solution

The fourth proportional to 410,038.20, 615,057.30 and 394,291.80 is: 591,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,038.20 : 615,057.30 = 394,291.80 : x
  2. Step 2: Convert to fraction form
    410,038.20/615,057.30 = 394,291.80/x
  3. Step 3: Cross multiply
    410,038.20x = 615,057.30 × 394,291.80
  4. Step 4: Simplify right side
    410,038.20x = 242,512,049,920.14
  5. Step 5: Solve for x
    x = 242,512,049,920.14/410,038.20
  6. Step 6: Final answer
    x = 591,437.70

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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.