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Finding the Fourth Proportional to 408,210.60, 611,659.80 and 301,922.40

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Solution

The fourth proportional to 408,210.60, 611,659.80 and 301,922.40 is: 452,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,210.60 : 611,659.80 = 301,922.40 : x
  2. Step 2: Convert to fraction form
    408,210.60/611,659.80 = 301,922.40/x
  3. Step 3: Cross multiply
    408,210.60x = 611,659.80 × 301,922.40
  4. Step 4: Simplify right side
    408,210.60x = 184,673,794,799.52
  5. Step 5: Solve for x
    x = 184,673,794,799.52/408,210.60
  6. Step 6: Final answer
    x = 452,398.33

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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.