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Finding the Fourth Proportional to 305,658.88, 458,491.28 and 92,428.48

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Solution

The fourth proportional to 305,658.88, 458,491.28 and 92,428.48 is: 138,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,658.88 : 458,491.28 = 92,428.48 : x
  2. Step 2: Convert to fraction form
    305,658.88/458,491.28 = 92,428.48/x
  3. Step 3: Cross multiply
    305,658.88x = 458,491.28 × 92,428.48
  4. Step 4: Simplify right side
    305,658.88x = 42,377,652,103.65
  5. Step 5: Solve for x
    x = 42,377,652,103.65/305,658.88
  6. Step 6: Final answer
    x = 138,643.62

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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.