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Finding the Fourth Proportional to 308,660.12, 463,008 and 119,121.47

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Solution

The fourth proportional to 308,660.12, 463,008 and 119,121.47 is: 178,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,660.12 : 463,008 = 119,121.47 : x
  2. Step 2: Convert to fraction form
    308,660.12/463,008 = 119,121.47/x
  3. Step 3: Cross multiply
    308,660.12x = 463,008 × 119,121.47
  4. Step 4: Simplify right side
    308,660.12x = 55,154,191,266.72
  5. Step 5: Solve for x
    x = 55,154,191,266.72/308,660.12
  6. Step 6: Final answer
    x = 178,689.08

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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.