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Finding the Fourth Proportional to 308,678.30, 463,035.37 and 119,139.72

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Solution

The fourth proportional to 308,678.30, 463,035.37 and 119,139.72 is: 178,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,678.30 : 463,035.37 = 119,139.72 : x
  2. Step 2: Convert to fraction form
    308,678.30/463,035.37 = 119,139.72/x
  3. Step 3: Cross multiply
    308,678.30x = 463,035.37 × 119,139.72
  4. Step 4: Simplify right side
    308,678.30x = 55,165,904,331.90
  5. Step 5: Solve for x
    x = 55,165,904,331.90/308,678.30
  6. Step 6: Final answer
    x = 178,716.50

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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.