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Finding the Fourth Proportional to 462,891.57, 638,760.20 and 258,907.11

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Solution

The fourth proportional to 462,891.57, 638,760.20 and 258,907.11 is: 357,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,891.57 : 638,760.20 = 258,907.11 : x
  2. Step 2: Convert to fraction form
    462,891.57/638,760.20 = 258,907.11/x
  3. Step 3: Cross multiply
    462,891.57x = 638,760.20 × 258,907.11
  4. Step 4: Simplify right side
    462,891.57x = 165,379,554,171.22
  5. Step 5: Solve for x
    x = 165,379,554,171.22/462,891.57
  6. Step 6: Final answer
    x = 357,274.94

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