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Finding the Fourth Proportional to 275,446.58, 413,024.51 and 85,871.61

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Solution

The fourth proportional to 275,446.58, 413,024.51 and 85,871.61 is: 128,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,446.58 : 413,024.51 = 85,871.61 : x
  2. Step 2: Convert to fraction form
    275,446.58/413,024.51 = 85,871.61/x
  3. Step 3: Cross multiply
    275,446.58x = 413,024.51 × 85,871.61
  4. Step 4: Simplify right side
    275,446.58x = 35,467,079,857.84
  5. Step 5: Solve for x
    x = 35,467,079,857.84/275,446.58
  6. Step 6: Final answer
    x = 128,762.10

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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.