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Finding the Fourth Proportional to 219,509.08, 328,917.66 and 169,711

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Solution

The fourth proportional to 219,509.08, 328,917.66 and 169,711 is: 254,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,509.08 : 328,917.66 = 169,711 : x
  2. Step 2: Convert to fraction form
    219,509.08/328,917.66 = 169,711/x
  3. Step 3: Cross multiply
    219,509.08x = 328,917.66 × 169,711
  4. Step 4: Simplify right side
    219,509.08x = 55,820,944,996.26
  5. Step 5: Solve for x
    x = 55,820,944,996.26/219,509.08
  6. Step 6: Final answer
    x = 254,299.02

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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.