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Finding the Fourth Proportional to 462,951.73, 638,898.21 and 258,990.49

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Solution

The fourth proportional to 462,951.73, 638,898.21 and 258,990.49 is: 357,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,951.73 : 638,898.21 = 258,990.49 : x
  2. Step 2: Convert to fraction form
    462,951.73/638,898.21 = 258,990.49/x
  3. Step 3: Cross multiply
    462,951.73x = 638,898.21 × 258,990.49
  4. Step 4: Simplify right side
    462,951.73x = 165,468,561,266.65
  5. Step 5: Solve for x
    x = 165,468,561,266.65/462,951.73
  6. Step 6: Final answer
    x = 357,420.76

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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.