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Finding the Fourth Proportional to 409,308.81, 614,046.26 and 128,760.81

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Solution

The fourth proportional to 409,308.81, 614,046.26 and 128,760.81 is: 193,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,308.81 : 614,046.26 = 128,760.81 : x
  2. Step 2: Convert to fraction form
    409,308.81/614,046.26 = 128,760.81/x
  3. Step 3: Cross multiply
    409,308.81x = 614,046.26 × 128,760.81
  4. Step 4: Simplify right side
    409,308.81x = 79,065,093,815.07
  5. Step 5: Solve for x
    x = 79,065,093,815.07/409,308.81
  6. Step 6: Final answer
    x = 193,167.34

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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.