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Finding the Fourth Proportional to 313,006.80, 468,708.60 and 172,609.68

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Solution

The fourth proportional to 313,006.80, 468,708.60 and 172,609.68 is: 258,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,006.80 : 468,708.60 = 172,609.68 : x
  2. Step 2: Convert to fraction form
    313,006.80/468,708.60 = 172,609.68/x
  3. Step 3: Cross multiply
    313,006.80x = 468,708.60 × 172,609.68
  4. Step 4: Simplify right side
    313,006.80x = 80,903,641,459.25
  5. Step 5: Solve for x
    x = 80,903,641,459.25/313,006.80
  6. Step 6: Final answer
    x = 258,472.47

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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.