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Finding the Fourth Proportional to 458,865.48, 688,311.80 and 219,004.66

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Solution

The fourth proportional to 458,865.48, 688,311.80 and 219,004.66 is: 328,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,865.48 : 688,311.80 = 219,004.66 : x
  2. Step 2: Convert to fraction form
    458,865.48/688,311.80 = 219,004.66/x
  3. Step 3: Cross multiply
    458,865.48x = 688,311.80 × 219,004.66
  4. Step 4: Simplify right side
    458,865.48x = 150,743,491,732.99
  5. Step 5: Solve for x
    x = 150,743,491,732.99/458,865.48
  6. Step 6: Final answer
    x = 328,513.47

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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.