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Finding the Fourth Proportional to 313,550.33, 470,254.52 and 144,978.80

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Solution

The fourth proportional to 313,550.33, 470,254.52 and 144,978.80 is: 217,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,550.33 : 470,254.52 = 144,978.80 : x
  2. Step 2: Convert to fraction form
    313,550.33/470,254.52 = 144,978.80/x
  3. Step 3: Cross multiply
    313,550.33x = 470,254.52 × 144,978.80
  4. Step 4: Simplify right side
    313,550.33x = 68,176,932,928.01
  5. Step 5: Solve for x
    x = 68,176,932,928.01/313,550.33
  6. Step 6: Final answer
    x = 217,435.38

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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.