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Finding the Fourth Proportional to 273,020.20, 409,530.30 and 257,468.20

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Solution

The fourth proportional to 273,020.20, 409,530.30 and 257,468.20 is: 386,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,020.20 : 409,530.30 = 257,468.20 : x
  2. Step 2: Convert to fraction form
    273,020.20/409,530.30 = 257,468.20/x
  3. Step 3: Cross multiply
    273,020.20x = 409,530.30 × 257,468.20
  4. Step 4: Simplify right side
    273,020.20x = 105,441,029,186.46
  5. Step 5: Solve for x
    x = 105,441,029,186.46/273,020.20
  6. Step 6: Final answer
    x = 386,202.30

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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.