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Finding the Fourth Proportional to 421,665.30, 632,508.18 and 165,486.96

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Solution

The fourth proportional to 421,665.30, 632,508.18 and 165,486.96 is: 248,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,665.30 : 632,508.18 = 165,486.96 : x
  2. Step 2: Convert to fraction form
    421,665.30/632,508.18 = 165,486.96/x
  3. Step 3: Cross multiply
    421,665.30x = 632,508.18 × 165,486.96
  4. Step 4: Simplify right side
    421,665.30x = 104,671,855,883.33
  5. Step 5: Solve for x
    x = 104,671,855,883.33/421,665.30
  6. Step 6: Final answer
    x = 248,234.45

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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.