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Finding the Fourth Proportional to 442,783.13, 664,287.01 and 127,240.34

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Solution

The fourth proportional to 442,783.13, 664,287.01 and 127,240.34 is: 190,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,783.13 : 664,287.01 = 127,240.34 : x
  2. Step 2: Convert to fraction form
    442,783.13/664,287.01 = 127,240.34/x
  3. Step 3: Cross multiply
    442,783.13x = 664,287.01 × 127,240.34
  4. Step 4: Simplify right side
    442,783.13x = 84,524,101,370.45
  5. Step 5: Solve for x
    x = 84,524,101,370.45/442,783.13
  6. Step 6: Final answer
    x = 190,892.78

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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.