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Finding the Fourth Proportional to 538,705.84, 743,419.23 and 296,997.28

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Solution

The fourth proportional to 538,705.84, 743,419.23 and 296,997.28 is: 409,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,705.84 : 743,419.23 = 296,997.28 : x
  2. Step 2: Convert to fraction form
    538,705.84/743,419.23 = 296,997.28/x
  3. Step 3: Cross multiply
    538,705.84x = 743,419.23 × 296,997.28
  4. Step 4: Simplify right side
    538,705.84x = 220,793,489,209.69
  5. Step 5: Solve for x
    x = 220,793,489,209.69/538,705.84
  6. Step 6: Final answer
    x = 409,859.10

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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.