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Finding the Fourth Proportional to 408,659.40, 611,822.70 and 362,003.40

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Solution

The fourth proportional to 408,659.40, 611,822.70 and 362,003.40 is: 541,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,659.40 : 611,822.70 = 362,003.40 : x
  2. Step 2: Convert to fraction form
    408,659.40/611,822.70 = 362,003.40/x
  3. Step 3: Cross multiply
    408,659.40x = 611,822.70 × 362,003.40
  4. Step 4: Simplify right side
    408,659.40x = 221,481,897,597.18
  5. Step 5: Solve for x
    x = 221,481,897,597.18/408,659.40
  6. Step 6: Final answer
    x = 541,971.87

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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.