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Finding the Fourth Proportional to 269,415.10, 403,863.45 and 209,410.30

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Solution

The fourth proportional to 269,415.10, 403,863.45 and 209,410.30 is: 313,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,415.10 : 403,863.45 = 209,410.30 : x
  2. Step 2: Convert to fraction form
    269,415.10/403,863.45 = 209,410.30/x
  3. Step 3: Cross multiply
    269,415.10x = 403,863.45 × 209,410.30
  4. Step 4: Simplify right side
    269,415.10x = 84,573,166,223.54
  5. Step 5: Solve for x
    x = 84,573,166,223.54/269,415.10
  6. Step 6: Final answer
    x = 313,913.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.