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Finding the Fourth Proportional to 408,789, 613,218.06 and 113,301

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Solution

The fourth proportional to 408,789, 613,218.06 and 113,301 is: 169,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789 : 613,218.06 = 113,301 : x
  2. Step 2: Convert to fraction form
    408,789/613,218.06 = 113,301/x
  3. Step 3: Cross multiply
    408,789x = 613,218.06 × 113,301
  4. Step 4: Simplify right side
    408,789x = 69,478,219,416.06
  5. Step 5: Solve for x
    x = 69,478,219,416.06/408,789
  6. Step 6: Final answer
    x = 169,961.08

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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.