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Finding the Fourth Proportional to 393,717.12, 590,836.23 and 216,347.64

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Solution

The fourth proportional to 393,717.12, 590,836.23 and 216,347.64 is: 324,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,717.12 : 590,836.23 = 216,347.64 : x
  2. Step 2: Convert to fraction form
    393,717.12/590,836.23 = 216,347.64/x
  3. Step 3: Cross multiply
    393,717.12x = 590,836.23 × 216,347.64
  4. Step 4: Simplify right side
    393,717.12x = 127,826,023,987.00
  5. Step 5: Solve for x
    x = 127,826,023,987.00/393,717.12
  6. Step 6: Final answer
    x = 324,664.63

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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.