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Finding the Fourth Proportional to 474,464.25, 711,732.87 and 137,509.47

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Solution

The fourth proportional to 474,464.25, 711,732.87 and 137,509.47 is: 206,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,464.25 : 711,732.87 = 137,509.47 : x
  2. Step 2: Convert to fraction form
    474,464.25/711,732.87 = 137,509.47/x
  3. Step 3: Cross multiply
    474,464.25x = 711,732.87 × 137,509.47
  4. Step 4: Simplify right side
    474,464.25x = 97,870,009,735.28
  5. Step 5: Solve for x
    x = 97,870,009,735.28/474,464.25
  6. Step 6: Final answer
    x = 206,274.78

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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.