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Finding the Fourth Proportional to 645,168, 890,331.84 and 362,544

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Solution

The fourth proportional to 645,168, 890,331.84 and 362,544 is: 500,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,168 : 890,331.84 = 362,544 : x
  2. Step 2: Convert to fraction form
    645,168/890,331.84 = 362,544/x
  3. Step 3: Cross multiply
    645,168x = 890,331.84 × 362,544
  4. Step 4: Simplify right side
    645,168x = 322,784,466,600.96
  5. Step 5: Solve for x
    x = 322,784,466,600.96/645,168
  6. Step 6: Final answer
    x = 500,310.72

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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.