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Finding the Fourth Proportional to 313,131.96, 469,421.46 and 239,588.28

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Solution

The fourth proportional to 313,131.96, 469,421.46 and 239,588.28 is: 359,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,131.96 : 469,421.46 = 239,588.28 : x
  2. Step 2: Convert to fraction form
    313,131.96/469,421.46 = 239,588.28/x
  3. Step 3: Cross multiply
    313,131.96x = 469,421.46 × 239,588.28
  4. Step 4: Simplify right side
    313,131.96x = 112,467,880,196.49
  5. Step 5: Solve for x
    x = 112,467,880,196.49/313,131.96
  6. Step 6: Final answer
    x = 359,170.88

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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.