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Finding the Fourth Proportional to 474,185.30, 711,651.87 and 208,129.46

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Solution

The fourth proportional to 474,185.30, 711,651.87 and 208,129.46 is: 312,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,185.30 : 711,651.87 = 208,129.46 : x
  2. Step 2: Convert to fraction form
    474,185.30/711,651.87 = 208,129.46/x
  3. Step 3: Cross multiply
    474,185.30x = 711,651.87 × 208,129.46
  4. Step 4: Simplify right side
    474,185.30x = 148,115,721,190.22
  5. Step 5: Solve for x
    x = 148,115,721,190.22/474,185.30
  6. Step 6: Final answer
    x = 312,358.31

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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.