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Finding the Fourth Proportional to 320,039.30, 441,647.88 and 176,798

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Solution

The fourth proportional to 320,039.30, 441,647.88 and 176,798 is: 243,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,039.30 : 441,647.88 = 176,798 : x
  2. Step 2: Convert to fraction form
    320,039.30/441,647.88 = 176,798/x
  3. Step 3: Cross multiply
    320,039.30x = 441,647.88 × 176,798
  4. Step 4: Simplify right side
    320,039.30x = 78,082,461,888.24
  5. Step 5: Solve for x
    x = 78,082,461,888.24/320,039.30
  6. Step 6: Final answer
    x = 243,977.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.