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Finding the Fourth Proportional to 643,213.68, 887,689.35 and 356,826

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Solution

The fourth proportional to 643,213.68, 887,689.35 and 356,826 is: 492,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,213.68 : 887,689.35 = 356,826 : x
  2. Step 2: Convert to fraction form
    643,213.68/887,689.35 = 356,826/x
  3. Step 3: Cross multiply
    643,213.68x = 887,689.35 × 356,826
  4. Step 4: Simplify right side
    643,213.68x = 316,750,640,003.10
  5. Step 5: Solve for x
    x = 316,750,640,003.10/643,213.68
  6. Step 6: Final answer
    x = 492,450.10

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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.