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Finding the Fourth Proportional to 410,321.80, 615,137.10 and 213,329.80

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Solution

The fourth proportional to 410,321.80, 615,137.10 and 213,329.80 is: 319,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,321.80 : 615,137.10 = 213,329.80 : x
  2. Step 2: Convert to fraction form
    410,321.80/615,137.10 = 213,329.80/x
  3. Step 3: Cross multiply
    410,321.80x = 615,137.10 × 213,329.80
  4. Step 4: Simplify right side
    410,321.80x = 131,227,074,515.58
  5. Step 5: Solve for x
    x = 131,227,074,515.58/410,321.80
  6. Step 6: Final answer
    x = 319,815.02

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1.5x scale

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.