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Finding the Fourth Proportional to 421,411.86, 632,118.45 and 172,093.86

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Solution

The fourth proportional to 421,411.86, 632,118.45 and 172,093.86 is: 258,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,411.86 : 632,118.45 = 172,093.86 : x
  2. Step 2: Convert to fraction form
    421,411.86/632,118.45 = 172,093.86/x
  3. Step 3: Cross multiply
    421,411.86x = 632,118.45 × 172,093.86
  4. Step 4: Simplify right side
    421,411.86x = 108,783,704,037.72
  5. Step 5: Solve for x
    x = 108,783,704,037.72/421,411.86
  6. Step 6: Final answer
    x = 258,141.06

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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.