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Finding the Fourth Proportional to 870,180, 1,305,270 and 309,236.64

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Solution

The fourth proportional to 870,180, 1,305,270 and 309,236.64 is: 463,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,180 : 1,305,270 = 309,236.64 : x
  2. Step 2: Convert to fraction form
    870,180/1,305,270 = 309,236.64/x
  3. Step 3: Cross multiply
    870,180x = 1,305,270 × 309,236.64
  4. Step 4: Simplify right side
    870,180x = 403,637,309,092.80
  5. Step 5: Solve for x
    x = 403,637,309,092.80/870,180
  6. Step 6: Final answer
    x = 463,854.96

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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.