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Finding the Fourth Proportional to 410,504.58, 615,372.66 and 210,382.20

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Solution

The fourth proportional to 410,504.58, 615,372.66 and 210,382.20 is: 315,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,504.58 : 615,372.66 = 210,382.20 : x
  2. Step 2: Convert to fraction form
    410,504.58/615,372.66 = 210,382.20/x
  3. Step 3: Cross multiply
    410,504.58x = 615,372.66 × 210,382.20
  4. Step 4: Simplify right side
    410,504.58x = 129,463,454,030.65
  5. Step 5: Solve for x
    x = 129,463,454,030.65/410,504.58
  6. Step 6: Final answer
    x = 315,376.39

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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.