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Finding the Fourth Proportional to 393,706.54, 590,010.78 and 297,564.82

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Solution

The fourth proportional to 393,706.54, 590,010.78 and 297,564.82 is: 445,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,706.54 : 590,010.78 = 297,564.82 : x
  2. Step 2: Convert to fraction form
    393,706.54/590,010.78 = 297,564.82/x
  3. Step 3: Cross multiply
    393,706.54x = 590,010.78 × 297,564.82
  4. Step 4: Simplify right side
    393,706.54x = 175,566,451,548.76
  5. Step 5: Solve for x
    x = 175,566,451,548.76/393,706.54
  6. Step 6: Final answer
    x = 445,932.27

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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.