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Finding the Fourth Proportional to 408,239.21, 563,645.03 and 365,084.81

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Solution

The fourth proportional to 408,239.21, 563,645.03 and 365,084.81 is: 504,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,239.21 : 563,645.03 = 365,084.81 : x
  2. Step 2: Convert to fraction form
    408,239.21/563,645.03 = 365,084.81/x
  3. Step 3: Cross multiply
    408,239.21x = 563,645.03 × 365,084.81
  4. Step 4: Simplify right side
    408,239.21x = 205,778,236,859.57
  5. Step 5: Solve for x
    x = 205,778,236,859.57/408,239.21
  6. Step 6: Final answer
    x = 504,062.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.