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Finding the Fourth Proportional to 305,008.60, 456,476.10 and 267,683.80

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Solution

The fourth proportional to 305,008.60, 456,476.10 and 267,683.80 is: 400,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,008.60 : 456,476.10 = 267,683.80 : x
  2. Step 2: Convert to fraction form
    305,008.60/456,476.10 = 267,683.80/x
  3. Step 3: Cross multiply
    305,008.60x = 456,476.10 × 267,683.80
  4. Step 4: Simplify right side
    305,008.60x = 122,191,257,057.18
  5. Step 5: Solve for x
    x = 122,191,257,057.18/305,008.60
  6. Step 6: Final answer
    x = 400,615.78

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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.