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Finding the Fourth Proportional to 409,815.81, 614,833.16 and 129,338.37

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Solution

The fourth proportional to 409,815.81, 614,833.16 and 129,338.37 is: 194,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,815.81 : 614,833.16 = 129,338.37 : x
  2. Step 2: Convert to fraction form
    409,815.81/614,833.16 = 129,338.37/x
  3. Step 3: Cross multiply
    409,815.81x = 614,833.16 × 129,338.37
  4. Step 4: Simplify right side
    409,815.81x = 79,521,518,089.66
  5. Step 5: Solve for x
    x = 79,521,518,089.66/409,815.81
  6. Step 6: Final answer
    x = 194,042.09

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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.