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Finding the Fourth Proportional to 408,579.86, 613,444.08 and 209,043.38

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Solution

The fourth proportional to 408,579.86, 613,444.08 and 209,043.38 is: 313,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,579.86 : 613,444.08 = 209,043.38 : x
  2. Step 2: Convert to fraction form
    408,579.86/613,444.08 = 209,043.38/x
  3. Step 3: Cross multiply
    408,579.86x = 613,444.08 × 209,043.38
  4. Step 4: Simplify right side
    408,579.86x = 128,236,423,924.19
  5. Step 5: Solve for x
    x = 128,236,423,924.19/408,579.86
  6. Step 6: Final answer
    x = 313,858.90

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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.