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Finding the Fourth Proportional to 306,090.70, 459,136.05 and 164,373.10

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Solution

The fourth proportional to 306,090.70, 459,136.05 and 164,373.10 is: 246,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,090.70 : 459,136.05 = 164,373.10 : x
  2. Step 2: Convert to fraction form
    306,090.70/459,136.05 = 164,373.10/x
  3. Step 3: Cross multiply
    306,090.70x = 459,136.05 × 164,373.10
  4. Step 4: Simplify right side
    306,090.70x = 75,469,615,860.26
  5. Step 5: Solve for x
    x = 75,469,615,860.26/306,090.70
  6. Step 6: Final answer
    x = 246,559.65

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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.