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Finding the Fourth Proportional to 272,892.80, 409,339.20 and 202,908.80

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Solution

The fourth proportional to 272,892.80, 409,339.20 and 202,908.80 is: 304,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,892.80 : 409,339.20 = 202,908.80 : x
  2. Step 2: Convert to fraction form
    272,892.80/409,339.20 = 202,908.80/x
  3. Step 3: Cross multiply
    272,892.80x = 409,339.20 × 202,908.80
  4. Step 4: Simplify right side
    272,892.80x = 83,058,525,864.96
  5. Step 5: Solve for x
    x = 83,058,525,864.96/272,892.80
  6. Step 6: Final answer
    x = 304,363.20

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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.