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Finding the Fourth Proportional to 411,217.74, 615,120.75 and 386,023.50

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Solution

The fourth proportional to 411,217.74, 615,120.75 and 386,023.50 is: 577,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,217.74 : 615,120.75 = 386,023.50 : x
  2. Step 2: Convert to fraction form
    411,217.74/615,120.75 = 386,023.50/x
  3. Step 3: Cross multiply
    411,217.74x = 615,120.75 × 386,023.50
  4. Step 4: Simplify right side
    411,217.74x = 237,451,064,837.63
  5. Step 5: Solve for x
    x = 237,451,064,837.63/411,217.74
  6. Step 6: Final answer
    x = 577,433.90

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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.