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Finding the Fourth Proportional to 744,614, 1,027,489.56 and 422,221.04

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Solution

The fourth proportional to 744,614, 1,027,489.56 and 422,221.04 is: 582,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,614 : 1,027,489.56 = 422,221.04 : x
  2. Step 2: Convert to fraction form
    744,614/1,027,489.56 = 422,221.04/x
  3. Step 3: Cross multiply
    744,614x = 1,027,489.56 × 422,221.04
  4. Step 4: Simplify right side
    744,614x = 433,827,710,612.34
  5. Step 5: Solve for x
    x = 433,827,710,612.34/744,614
  6. Step 6: Final answer
    x = 582,620.94

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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.