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Finding the Fourth Proportional to 378,084.81, 521,732.61 and 225,134.22

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Solution

The fourth proportional to 378,084.81, 521,732.61 and 225,134.22 is: 310,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,084.81 : 521,732.61 = 225,134.22 : x
  2. Step 2: Convert to fraction form
    378,084.81/521,732.61 = 225,134.22/x
  3. Step 3: Cross multiply
    378,084.81x = 521,732.61 × 225,134.22
  4. Step 4: Simplify right side
    378,084.81x = 117,459,864,200.91
  5. Step 5: Solve for x
    x = 117,459,864,200.91/378,084.81
  6. Step 6: Final answer
    x = 310,670.68

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Why These Related Problems?

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