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Finding the Fourth Proportional to 421,808.72, 632,078.84 and 168,838.43

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Solution

The fourth proportional to 421,808.72, 632,078.84 and 168,838.43 is: 253,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,808.72 : 632,078.84 = 168,838.43 : x
  2. Step 2: Convert to fraction form
    421,808.72/632,078.84 = 168,838.43/x
  3. Step 3: Cross multiply
    421,808.72x = 632,078.84 × 168,838.43
  4. Step 4: Simplify right side
    421,808.72x = 106,719,196,243.52
  5. Step 5: Solve for x
    x = 106,719,196,243.52/421,808.72
  6. Step 6: Final answer
    x = 253,003.77

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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.