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Finding the Fourth Proportional to 295,218.70, 442,828.05 and 206,572.30

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Solution

The fourth proportional to 295,218.70, 442,828.05 and 206,572.30 is: 309,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,218.70 : 442,828.05 = 206,572.30 : x
  2. Step 2: Convert to fraction form
    295,218.70/442,828.05 = 206,572.30/x
  3. Step 3: Cross multiply
    295,218.70x = 442,828.05 × 206,572.30
  4. Step 4: Simplify right side
    295,218.70x = 91,476,008,793.02
  5. Step 5: Solve for x
    x = 91,476,008,793.02/295,218.70
  6. Step 6: Final answer
    x = 309,858.45

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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.