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Finding the Fourth Proportional to 538,661.66, 743,351.19 and 312,436.22

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Solution

The fourth proportional to 538,661.66, 743,351.19 and 312,436.22 is: 431,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,661.66 : 743,351.19 = 312,436.22 : x
  2. Step 2: Convert to fraction form
    538,661.66/743,351.19 = 312,436.22/x
  3. Step 3: Cross multiply
    538,661.66x = 743,351.19 × 312,436.22
  4. Step 4: Simplify right side
    538,661.66x = 232,249,835,936.10
  5. Step 5: Solve for x
    x = 232,249,835,936.10/538,661.66
  6. Step 6: Final answer
    x = 431,160.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.