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Finding the Fourth Proportional to 310,269.90, 465,514.20 and 299,334.90

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Solution

The fourth proportional to 310,269.90, 465,514.20 and 299,334.90 is: 449,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,269.90 : 465,514.20 = 299,334.90 : x
  2. Step 2: Convert to fraction form
    310,269.90/465,514.20 = 299,334.90/x
  3. Step 3: Cross multiply
    310,269.90x = 465,514.20 × 299,334.90
  4. Step 4: Simplify right side
    310,269.90x = 139,344,646,505.58
  5. Step 5: Solve for x
    x = 139,344,646,505.58/310,269.90
  6. Step 6: Final answer
    x = 449,107.85

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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.