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Finding the Fourth Proportional to 421,755.66, 632,635.92 and 172,437.66

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Solution

The fourth proportional to 421,755.66, 632,635.92 and 172,437.66 is: 258,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,755.66 : 632,635.92 = 172,437.66 : x
  2. Step 2: Convert to fraction form
    421,755.66/632,635.92 = 172,437.66/x
  3. Step 3: Cross multiply
    421,755.66x = 632,635.92 × 172,437.66
  4. Step 4: Simplify right side
    421,755.66x = 109,090,257,676.75
  5. Step 5: Solve for x
    x = 109,090,257,676.75/421,755.66
  6. Step 6: Final answer
    x = 258,657.48

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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.