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Finding the Fourth Proportional to 421,393.41, 632,020.77 and 181,442.61

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Solution

The fourth proportional to 421,393.41, 632,020.77 and 181,442.61 is: 272,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,393.41 : 632,020.77 = 181,442.61 : x
  2. Step 2: Convert to fraction form
    421,393.41/632,020.77 = 181,442.61/x
  3. Step 3: Cross multiply
    421,393.41x = 632,020.77 × 181,442.61
  4. Step 4: Simplify right side
    421,393.41x = 114,675,498,083.01
  5. Step 5: Solve for x
    x = 114,675,498,083.01/421,393.41
  6. Step 6: Final answer
    x = 272,134.06

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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.