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Finding the Fourth Proportional to 409,670.34, 614,505.50 and 129,209.46

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Solution

The fourth proportional to 409,670.34, 614,505.50 and 129,209.46 is: 193,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,670.34 : 614,505.50 = 129,209.46 : x
  2. Step 2: Convert to fraction form
    409,670.34/614,505.50 = 129,209.46/x
  3. Step 3: Cross multiply
    409,670.34x = 614,505.50 × 129,209.46
  4. Step 4: Simplify right side
    409,670.34x = 79,399,923,822.03
  5. Step 5: Solve for x
    x = 79,399,923,822.03/409,670.34
  6. Step 6: Final answer
    x = 193,814.19

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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.