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Finding the Fourth Proportional to 272,731.20, 409,291.20 and 154,276.80

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Solution

The fourth proportional to 272,731.20, 409,291.20 and 154,276.80 is: 231,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,731.20 : 409,291.20 = 154,276.80 : x
  2. Step 2: Convert to fraction form
    272,731.20/409,291.20 = 154,276.80/x
  3. Step 3: Cross multiply
    272,731.20x = 409,291.20 × 154,276.80
  4. Step 4: Simplify right side
    272,731.20x = 63,144,136,604.16
  5. Step 5: Solve for x
    x = 63,144,136,604.16/272,731.20
  6. Step 6: Final answer
    x = 231,525.17

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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.