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Finding the Fourth Proportional to 411,105.20, 615,448.20 and 306,388.40

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Solution

The fourth proportional to 411,105.20, 615,448.20 and 306,388.40 is: 458,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,105.20 : 615,448.20 = 306,388.40 : x
  2. Step 2: Convert to fraction form
    411,105.20/615,448.20 = 306,388.40/x
  3. Step 3: Cross multiply
    411,105.20x = 615,448.20 × 306,388.40
  4. Step 4: Simplify right side
    411,105.20x = 188,566,189,280.88
  5. Step 5: Solve for x
    x = 188,566,189,280.88/411,105.20
  6. Step 6: Final answer
    x = 458,681.11

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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.