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Finding the Fourth Proportional to 313,120.92, 469,059.30 and 172,530.84

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Solution

The fourth proportional to 313,120.92, 469,059.30 and 172,530.84 is: 258,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,120.92 : 469,059.30 = 172,530.84 : x
  2. Step 2: Convert to fraction form
    313,120.92/469,059.30 = 172,530.84/x
  3. Step 3: Cross multiply
    313,120.92x = 469,059.30 × 172,530.84
  4. Step 4: Simplify right side
    313,120.92x = 80,927,195,038.81
  5. Step 5: Solve for x
    x = 80,927,195,038.81/313,120.92
  6. Step 6: Final answer
    x = 258,453.49

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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.