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Finding the Fourth Proportional to 323,174.40, 484,785.90 and 86,511.84

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Solution

The fourth proportional to 323,174.40, 484,785.90 and 86,511.84 is: 129,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,174.40 : 484,785.90 = 86,511.84 : x
  2. Step 2: Convert to fraction form
    323,174.40/484,785.90 = 86,511.84/x
  3. Step 3: Cross multiply
    323,174.40x = 484,785.90 × 86,511.84
  4. Step 4: Simplify right side
    323,174.40x = 41,939,720,215.06
  5. Step 5: Solve for x
    x = 41,939,720,215.06/323,174.40
  6. Step 6: Final answer
    x = 129,774.26

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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.