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Finding the Fourth Proportional to 297,039.84, 409,936.66 and 169,712.70

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Solution

The fourth proportional to 297,039.84, 409,936.66 and 169,712.70 is: 234,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,039.84 : 409,936.66 = 169,712.70 : x
  2. Step 2: Convert to fraction form
    297,039.84/409,936.66 = 169,712.70/x
  3. Step 3: Cross multiply
    297,039.84x = 409,936.66 × 169,712.70
  4. Step 4: Simplify right side
    297,039.84x = 69,571,457,397.58
  5. Step 5: Solve for x
    x = 69,571,457,397.58/297,039.84
  6. Step 6: Final answer
    x = 234,215.91

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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.