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Finding the Fourth Proportional to 272,996.40, 409,588 and 166,593.68

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Solution

The fourth proportional to 272,996.40, 409,588 and 166,593.68 is: 249,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,996.40 : 409,588 = 166,593.68 : x
  2. Step 2: Convert to fraction form
    272,996.40/409,588 = 166,593.68/x
  3. Step 3: Cross multiply
    272,996.40x = 409,588 × 166,593.68
  4. Step 4: Simplify right side
    272,996.40x = 68,234,772,203.84
  5. Step 5: Solve for x
    x = 68,234,772,203.84/272,996.40
  6. Step 6: Final answer
    x = 249,947.52

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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.