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Finding the Fourth Proportional to 515,348.06, 711,199.31 and 311,359.56

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Solution

The fourth proportional to 515,348.06, 711,199.31 and 311,359.56 is: 429,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,348.06 : 711,199.31 = 311,359.56 : x
  2. Step 2: Convert to fraction form
    515,348.06/711,199.31 = 311,359.56/x
  3. Step 3: Cross multiply
    515,348.06x = 711,199.31 × 311,359.56
  4. Step 4: Simplify right side
    515,348.06x = 221,438,705,012.30
  5. Step 5: Solve for x
    x = 221,438,705,012.30/515,348.06
  6. Step 6: Final answer
    x = 429,687.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.