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Finding the Fourth Proportional to 308,011.64, 461,186.78 and 201,130.84

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Solution

The fourth proportional to 308,011.64, 461,186.78 and 201,130.84 is: 301,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,011.64 : 461,186.78 = 201,130.84 : x
  2. Step 2: Convert to fraction form
    308,011.64/461,186.78 = 201,130.84/x
  3. Step 3: Cross multiply
    308,011.64x = 461,186.78 × 201,130.84
  4. Step 4: Simplify right side
    308,011.64x = 92,758,884,458.30
  5. Step 5: Solve for x
    x = 92,758,884,458.30/308,011.64
  6. Step 6: Final answer
    x = 301,153.83

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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.