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Finding the Fourth Proportional to 308,723.40, 463,344.30 and 140,502.60

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Solution

The fourth proportional to 308,723.40, 463,344.30 and 140,502.60 is: 210,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,723.40 : 463,344.30 = 140,502.60 : x
  2. Step 2: Convert to fraction form
    308,723.40/463,344.30 = 140,502.60/x
  3. Step 3: Cross multiply
    308,723.40x = 463,344.30 × 140,502.60
  4. Step 4: Simplify right side
    308,723.40x = 65,101,078,845.18
  5. Step 5: Solve for x
    x = 65,101,078,845.18/308,723.40
  6. Step 6: Final answer
    x = 210,871.86

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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.