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Finding the Fourth Proportional to 297,655, 410,763.90 and 163,519

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Solution

The fourth proportional to 297,655, 410,763.90 and 163,519 is: 225,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,655 : 410,763.90 = 163,519 : x
  2. Step 2: Convert to fraction form
    297,655/410,763.90 = 163,519/x
  3. Step 3: Cross multiply
    297,655x = 410,763.90 × 163,519
  4. Step 4: Simplify right side
    297,655x = 67,167,702,164.10
  5. Step 5: Solve for x
    x = 67,167,702,164.10/297,655
  6. Step 6: Final answer
    x = 225,656.22

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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.