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Finding the Fourth Proportional to 308,145.07, 461,463.04 and 254,508.90

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Solution

The fourth proportional to 308,145.07, 461,463.04 and 254,508.90 is: 381,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,145.07 : 461,463.04 = 254,508.90 : x
  2. Step 2: Convert to fraction form
    308,145.07/461,463.04 = 254,508.90/x
  3. Step 3: Cross multiply
    308,145.07x = 461,463.04 × 254,508.90
  4. Step 4: Simplify right side
    308,145.07x = 117,446,449,288.71
  5. Step 5: Solve for x
    x = 117,446,449,288.71/308,145.07
  6. Step 6: Final answer
    x = 381,140.12

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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.