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Finding the Fourth Proportional to 411,217.20, 615,904.20 and 245,329.20

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Solution

The fourth proportional to 411,217.20, 615,904.20 and 245,329.20 is: 367,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,217.20 : 615,904.20 = 245,329.20 : x
  2. Step 2: Convert to fraction form
    411,217.20/615,904.20 = 245,329.20/x
  3. Step 3: Cross multiply
    411,217.20x = 615,904.20 × 245,329.20
  4. Step 4: Simplify right side
    411,217.20x = 151,099,284,662.64
  5. Step 5: Solve for x
    x = 151,099,284,662.64/411,217.20
  6. Step 6: Final answer
    x = 367,443.98

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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.