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Finding the Fourth Proportional to 313,148.40, 469,800.36 and 146,742

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Solution

The fourth proportional to 313,148.40, 469,800.36 and 146,742 is: 220,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,148.40 : 469,800.36 = 146,742 : x
  2. Step 2: Convert to fraction form
    313,148.40/469,800.36 = 146,742/x
  3. Step 3: Cross multiply
    313,148.40x = 469,800.36 × 146,742
  4. Step 4: Simplify right side
    313,148.40x = 68,939,444,427.12
  5. Step 5: Solve for x
    x = 68,939,444,427.12/313,148.40
  6. Step 6: Final answer
    x = 220,149.44

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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.