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Finding the Fourth Proportional to 421,809.72, 632,080.34 and 168,839.43

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Solution

The fourth proportional to 421,809.72, 632,080.34 and 168,839.43 is: 253,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,809.72 : 632,080.34 = 168,839.43 : x
  2. Step 2: Convert to fraction form
    421,809.72/632,080.34 = 168,839.43/x
  3. Step 3: Cross multiply
    421,809.72x = 632,080.34 × 168,839.43
  4. Step 4: Simplify right side
    421,809.72x = 106,720,084,319.81
  5. Step 5: Solve for x
    x = 106,720,084,319.81/421,809.72
  6. Step 6: Final answer
    x = 253,005.28

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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.