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Finding the Fourth Proportional to 313,384.40, 470,335.80 and 145,163.60

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Solution

The fourth proportional to 313,384.40, 470,335.80 and 145,163.60 is: 217,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,384.40 : 470,335.80 = 145,163.60 : x
  2. Step 2: Convert to fraction form
    313,384.40/470,335.80 = 145,163.60/x
  3. Step 3: Cross multiply
    313,384.40x = 470,335.80 × 145,163.60
  4. Step 4: Simplify right side
    313,384.40x = 68,275,637,936.88
  5. Step 5: Solve for x
    x = 68,275,637,936.88/313,384.40
  6. Step 6: Final answer
    x = 217,865.46

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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.