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Finding the Fourth Proportional to 645,568, 890,883.84 and 362,944

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Solution

The fourth proportional to 645,568, 890,883.84 and 362,944 is: 500,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,568 : 890,883.84 = 362,944 : x
  2. Step 2: Convert to fraction form
    645,568/890,883.84 = 362,944/x
  3. Step 3: Cross multiply
    645,568x = 890,883.84 × 362,944
  4. Step 4: Simplify right side
    645,568x = 323,340,944,424.96
  5. Step 5: Solve for x
    x = 323,340,944,424.96/645,568
  6. Step 6: Final answer
    x = 500,862.72

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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.