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Finding the Fourth Proportional to 409,813.56, 614,829.78 and 129,336.12

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Solution

The fourth proportional to 409,813.56, 614,829.78 and 129,336.12 is: 194,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,813.56 : 614,829.78 = 129,336.12 : x
  2. Step 2: Convert to fraction form
    409,813.56/614,829.78 = 129,336.12/x
  3. Step 3: Cross multiply
    409,813.56x = 614,829.78 × 129,336.12
  4. Step 4: Simplify right side
    409,813.56x = 79,519,698,205.65
  5. Step 5: Solve for x
    x = 79,519,698,205.65/409,813.56
  6. Step 6: Final answer
    x = 194,038.72

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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.