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Finding the Fourth Proportional to 275,954.76, 413,857.98 and 76,228.20

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Solution

The fourth proportional to 275,954.76, 413,857.98 and 76,228.20 is: 114,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,954.76 : 413,857.98 = 76,228.20 : x
  2. Step 2: Convert to fraction form
    275,954.76/413,857.98 = 76,228.20/x
  3. Step 3: Cross multiply
    275,954.76x = 413,857.98 × 76,228.20
  4. Step 4: Simplify right side
    275,954.76x = 31,547,648,871.04
  5. Step 5: Solve for x
    x = 31,547,648,871.04/275,954.76
  6. Step 6: Final answer
    x = 114,321.81

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1.5x scale

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.