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Finding the Fourth Proportional to 329,078.70, 493,618.05 and 92,429.10

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Solution

The fourth proportional to 329,078.70, 493,618.05 and 92,429.10 is: 138,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,078.70 : 493,618.05 = 92,429.10 : x
  2. Step 2: Convert to fraction form
    329,078.70/493,618.05 = 92,429.10/x
  3. Step 3: Cross multiply
    329,078.70x = 493,618.05 × 92,429.10
  4. Step 4: Simplify right side
    329,078.70x = 45,624,672,105.26
  5. Step 5: Solve for x
    x = 45,624,672,105.26/329,078.70
  6. Step 6: Final answer
    x = 138,643.65

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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.