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Finding the Fourth Proportional to 313,040.40, 469,819.80 and 144,819.60

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Solution

The fourth proportional to 313,040.40, 469,819.80 and 144,819.60 is: 217,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,040.40 : 469,819.80 = 144,819.60 : x
  2. Step 2: Convert to fraction form
    313,040.40/469,819.80 = 144,819.60/x
  3. Step 3: Cross multiply
    313,040.40x = 469,819.80 × 144,819.60
  4. Step 4: Simplify right side
    313,040.40x = 68,039,115,508.08
  5. Step 5: Solve for x
    x = 68,039,115,508.08/313,040.40
  6. Step 6: Final answer
    x = 217,349.31

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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.