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Finding the Fourth Proportional to 393,705.54, 590,009.30 and 297,563.82

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Solution

The fourth proportional to 393,705.54, 590,009.30 and 297,563.82 is: 445,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,705.54 : 590,009.30 = 297,563.82 : x
  2. Step 2: Convert to fraction form
    393,705.54/590,009.30 = 297,563.82/x
  3. Step 3: Cross multiply
    393,705.54x = 590,009.30 × 297,563.82
  4. Step 4: Simplify right side
    393,705.54x = 175,565,419,655.71
  5. Step 5: Solve for x
    x = 175,565,419,655.71/393,705.54
  6. Step 6: Final answer
    x = 445,930.78

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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.