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Finding the Fourth Proportional to 410,646.99, 615,992.57 and 130,186.11

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Solution

The fourth proportional to 410,646.99, 615,992.57 and 130,186.11 is: 195,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,646.99 : 615,992.57 = 130,186.11 : x
  2. Step 2: Convert to fraction form
    410,646.99/615,992.57 = 130,186.11/x
  3. Step 3: Cross multiply
    410,646.99x = 615,992.57 × 130,186.11
  4. Step 4: Simplify right side
    410,646.99x = 80,193,675,826.27
  5. Step 5: Solve for x
    x = 80,193,675,826.27/410,646.99
  6. Step 6: Final answer
    x = 195,286.16

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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.