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Finding the Fourth Proportional to 421,609.44, 631,039.20 and 229,194.40

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Solution

The fourth proportional to 421,609.44, 631,039.20 and 229,194.40 is: 343,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,609.44 : 631,039.20 = 229,194.40 : x
  2. Step 2: Convert to fraction form
    421,609.44/631,039.20 = 229,194.40/x
  3. Step 3: Cross multiply
    421,609.44x = 631,039.20 × 229,194.40
  4. Step 4: Simplify right side
    421,609.44x = 144,630,650,820.48
  5. Step 5: Solve for x
    x = 144,630,650,820.48/421,609.44
  6. Step 6: Final answer
    x = 343,044.15

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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.