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Finding the Fourth Proportional to 538,235.40, 806,661.90 and 412,955.40

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Solution

The fourth proportional to 538,235.40, 806,661.90 and 412,955.40 is: 618,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,235.40 : 806,661.90 = 412,955.40 : x
  2. Step 2: Convert to fraction form
    538,235.40/806,661.90 = 412,955.40/x
  3. Step 3: Cross multiply
    538,235.40x = 806,661.90 × 412,955.40
  4. Step 4: Simplify right side
    538,235.40x = 333,115,387,579.26
  5. Step 5: Solve for x
    x = 333,115,387,579.26/538,235.40
  6. Step 6: Final answer
    x = 618,902.78

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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.