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Finding the Fourth Proportional to 272,998.20, 409,497.30 and 257,446.20

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Solution

The fourth proportional to 272,998.20, 409,497.30 and 257,446.20 is: 386,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,998.20 : 409,497.30 = 257,446.20 : x
  2. Step 2: Convert to fraction form
    272,998.20/409,497.30 = 257,446.20/x
  3. Step 3: Cross multiply
    272,998.20x = 409,497.30 × 257,446.20
  4. Step 4: Simplify right side
    272,998.20x = 105,423,523,795.26
  5. Step 5: Solve for x
    x = 105,423,523,795.26/272,998.20
  6. Step 6: Final answer
    x = 386,169.30

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1.5x scale

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.