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Finding the Fourth Proportional to 409,326.60, 612,856.32 and 209,216.12

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Solution

The fourth proportional to 409,326.60, 612,856.32 and 209,216.12 is: 313,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,326.60 : 612,856.32 = 209,216.12 : x
  2. Step 2: Convert to fraction form
    409,326.60/612,856.32 = 209,216.12/x
  3. Step 3: Cross multiply
    409,326.60x = 612,856.32 × 209,216.12
  4. Step 4: Simplify right side
    409,326.60x = 128,219,421,387.88
  5. Step 5: Solve for x
    x = 128,219,421,387.88/409,326.60
  6. Step 6: Final answer
    x = 313,244.78

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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.