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Finding the Fourth Proportional to 313,849, 470,980.86 and 147,649.96

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Solution

The fourth proportional to 313,849, 470,980.86 and 147,649.96 is: 221,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,849 : 470,980.86 = 147,649.96 : x
  2. Step 2: Convert to fraction form
    313,849/470,980.86 = 147,649.96/x
  3. Step 3: Cross multiply
    313,849x = 470,980.86 × 147,649.96
  4. Step 4: Simplify right side
    313,849x = 69,540,305,139.77
  5. Step 5: Solve for x
    x = 69,540,305,139.77/313,849
  6. Step 6: Final answer
    x = 221,572.49

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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.