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Finding the Fourth Proportional to 515,591, 711,506.85 and 289,231.64

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Solution

The fourth proportional to 515,591, 711,506.85 and 289,231.64 is: 399,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,591 : 711,506.85 = 289,231.64 : x
  2. Step 2: Convert to fraction form
    515,591/711,506.85 = 289,231.64/x
  3. Step 3: Cross multiply
    515,591x = 711,506.85 × 289,231.64
  4. Step 4: Simplify right side
    515,591x = 205,790,293,096.73
  5. Step 5: Solve for x
    x = 205,790,293,096.73/515,591
  6. Step 6: Final answer
    x = 399,134.77

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1.5x scale

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.