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Finding the Fourth Proportional to 312,457.50, 468,708.12 and 125,469

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Solution

The fourth proportional to 312,457.50, 468,708.12 and 125,469 is: 188,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,457.50 : 468,708.12 = 125,469 : x
  2. Step 2: Convert to fraction form
    312,457.50/468,708.12 = 125,469/x
  3. Step 3: Cross multiply
    312,457.50x = 468,708.12 × 125,469
  4. Step 4: Simplify right side
    312,457.50x = 58,808,339,108.28
  5. Step 5: Solve for x
    x = 58,808,339,108.28/312,457.50
  6. Step 6: Final answer
    x = 188,212.28

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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.