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Finding the Fourth Proportional to 305,002.60, 456,467.10 and 267,677.80

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Solution

The fourth proportional to 305,002.60, 456,467.10 and 267,677.80 is: 400,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,002.60 : 456,467.10 = 267,677.80 : x
  2. Step 2: Convert to fraction form
    305,002.60/456,467.10 = 267,677.80/x
  3. Step 3: Cross multiply
    305,002.60x = 456,467.10 × 267,677.80
  4. Step 4: Simplify right side
    305,002.60x = 122,186,109,100.38
  5. Step 5: Solve for x
    x = 122,186,109,100.38/305,002.60
  6. Step 6: Final answer
    x = 400,606.78

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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.