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Finding the Fourth Proportional to 329,312.61, 493,858.22 and 129,580.65

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Solution

The fourth proportional to 329,312.61, 493,858.22 and 129,580.65 is: 194,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,312.61 : 493,858.22 = 129,580.65 : x
  2. Step 2: Convert to fraction form
    329,312.61/493,858.22 = 129,580.65/x
  3. Step 3: Cross multiply
    329,312.61x = 493,858.22 × 129,580.65
  4. Step 4: Simplify right side
    329,312.61x = 63,994,468,507.54
  5. Step 5: Solve for x
    x = 63,994,468,507.54/329,312.61
  6. Step 6: Final answer
    x = 194,327.42

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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.