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Finding the Fourth Proportional to 313,962.60, 470,943.90 and 299,200.36

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Solution

The fourth proportional to 313,962.60, 470,943.90 and 299,200.36 is: 448,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,962.60 : 470,943.90 = 299,200.36 : x
  2. Step 2: Convert to fraction form
    313,962.60/470,943.90 = 299,200.36/x
  3. Step 3: Cross multiply
    313,962.60x = 470,943.90 × 299,200.36
  4. Step 4: Simplify right side
    313,962.60x = 140,906,584,419.80
  5. Step 5: Solve for x
    x = 140,906,584,419.80/313,962.60
  6. Step 6: Final answer
    x = 448,800.54

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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.