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Finding the Fourth Proportional to 474,653.67, 711,889.79 and 142,229.67

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Solution

The fourth proportional to 474,653.67, 711,889.79 and 142,229.67 is: 213,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,653.67 : 711,889.79 = 142,229.67 : x
  2. Step 2: Convert to fraction form
    474,653.67/711,889.79 = 142,229.67/x
  3. Step 3: Cross multiply
    474,653.67x = 711,889.79 × 142,229.67
  4. Step 4: Simplify right side
    474,653.67x = 101,251,853,333.95
  5. Step 5: Solve for x
    x = 101,251,853,333.95/474,653.67
  6. Step 6: Final answer
    x = 213,317.33

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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.