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Finding the Fourth Proportional to 313,683.80, 470,261.16 and 136,057

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Solution

The fourth proportional to 313,683.80, 470,261.16 and 136,057 is: 203,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,683.80 : 470,261.16 = 136,057 : x
  2. Step 2: Convert to fraction form
    313,683.80/470,261.16 = 136,057/x
  3. Step 3: Cross multiply
    313,683.80x = 470,261.16 × 136,057
  4. Step 4: Simplify right side
    313,683.80x = 63,982,322,646.12
  5. Step 5: Solve for x
    x = 63,982,322,646.12/313,683.80
  6. Step 6: Final answer
    x = 203,970.76

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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.