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Finding the Fourth Proportional to 320,647.84, 442,459.20 and 177,385.12

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Solution

The fourth proportional to 320,647.84, 442,459.20 and 177,385.12 is: 244,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,647.84 : 442,459.20 = 177,385.12 : x
  2. Step 2: Convert to fraction form
    320,647.84/442,459.20 = 177,385.12/x
  3. Step 3: Cross multiply
    320,647.84x = 442,459.20 × 177,385.12
  4. Step 4: Simplify right side
    320,647.84x = 78,485,678,287.10
  5. Step 5: Solve for x
    x = 78,485,678,287.10/320,647.84
  6. Step 6: Final answer
    x = 244,772.20

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