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Finding the Fourth Proportional to 509,057.70, 763,586.55 and 259,707.30

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Solution

The fourth proportional to 509,057.70, 763,586.55 and 259,707.30 is: 389,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,057.70 : 763,586.55 = 259,707.30 : x
  2. Step 2: Convert to fraction form
    509,057.70/763,586.55 = 259,707.30/x
  3. Step 3: Cross multiply
    509,057.70x = 763,586.55 × 259,707.30
  4. Step 4: Simplify right side
    509,057.70x = 198,309,001,216.82
  5. Step 5: Solve for x
    x = 198,309,001,216.82/509,057.70
  6. Step 6: Final answer
    x = 389,560.95

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Double scale
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Similar ratio
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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.