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Finding the Fourth Proportional to 462,447.07, 638,279.90 and 281,120.63

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Solution

The fourth proportional to 462,447.07, 638,279.90 and 281,120.63 is: 388,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,447.07 : 638,279.90 = 281,120.63 : x
  2. Step 2: Convert to fraction form
    462,447.07/638,279.90 = 281,120.63/x
  3. Step 3: Cross multiply
    462,447.07x = 638,279.90 × 281,120.63
  4. Step 4: Simplify right side
    462,447.07x = 179,433,644,061.54
  5. Step 5: Solve for x
    x = 179,433,644,061.54/462,447.07
  6. Step 6: Final answer
    x = 388,009.04

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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.