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Finding the Fourth Proportional to 275,263.30, 411,851.67 and 163,003.78

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Solution

The fourth proportional to 275,263.30, 411,851.67 and 163,003.78 is: 243,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,263.30 : 411,851.67 = 163,003.78 : x
  2. Step 2: Convert to fraction form
    275,263.30/411,851.67 = 163,003.78/x
  3. Step 3: Cross multiply
    275,263.30x = 411,851.67 × 163,003.78
  4. Step 4: Simplify right side
    275,263.30x = 67,133,379,009.31
  5. Step 5: Solve for x
    x = 67,133,379,009.31/275,263.30
  6. Step 6: Final answer
    x = 243,887.87

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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.