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Finding the Fourth Proportional to 409,684.85, 614,527.29 and 129,223.97

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Solution

The fourth proportional to 409,684.85, 614,527.29 and 129,223.97 is: 193,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,684.85 : 614,527.29 = 129,223.97 : x
  2. Step 2: Convert to fraction form
    409,684.85/614,527.29 = 129,223.97/x
  3. Step 3: Cross multiply
    409,684.85x = 614,527.29 × 129,223.97
  4. Step 4: Simplify right side
    409,684.85x = 79,411,656,087.14
  5. Step 5: Solve for x
    x = 79,411,656,087.14/409,684.85
  6. Step 6: Final answer
    x = 193,835.96

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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.