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Finding the Fourth Proportional to 410,604.30, 615,928.32 and 130,143.42

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Solution

The fourth proportional to 410,604.30, 615,928.32 and 130,143.42 is: 195,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,604.30 : 615,928.32 = 130,143.42 : x
  2. Step 2: Convert to fraction form
    410,604.30/615,928.32 = 130,143.42/x
  3. Step 3: Cross multiply
    410,604.30x = 615,928.32 × 130,143.42
  4. Step 4: Simplify right side
    410,604.30x = 80,159,018,039.65
  5. Step 5: Solve for x
    x = 80,159,018,039.65/410,604.30
  6. Step 6: Final answer
    x = 195,222.06

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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.