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Finding the Fourth Proportional to 352,900.41, 486,947.75 and 209,656.77

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Solution

The fourth proportional to 352,900.41, 486,947.75 and 209,656.77 is: 289,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,900.41 : 486,947.75 = 209,656.77 : x
  2. Step 2: Convert to fraction form
    352,900.41/486,947.75 = 209,656.77/x
  3. Step 3: Cross multiply
    352,900.41x = 486,947.75 × 209,656.77
  4. Step 4: Simplify right side
    352,900.41x = 102,091,891,375.48
  5. Step 5: Solve for x
    x = 102,091,891,375.48/352,900.41
  6. Step 6: Final answer
    x = 289,293.77

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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.