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Finding the Fourth Proportional to 645,192, 890,364.96 and 362,568

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Solution

The fourth proportional to 645,192, 890,364.96 and 362,568 is: 500,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,192 : 890,364.96 = 362,568 : x
  2. Step 2: Convert to fraction form
    645,192/890,364.96 = 362,568/x
  3. Step 3: Cross multiply
    645,192x = 890,364.96 × 362,568
  4. Step 4: Simplify right side
    645,192x = 322,817,842,817.28
  5. Step 5: Solve for x
    x = 322,817,842,817.28/645,192
  6. Step 6: Final answer
    x = 500,343.84

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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.