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Finding the Fourth Proportional to 474,542.10, 711,605.79 and 142,040.34

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Solution

The fourth proportional to 474,542.10, 711,605.79 and 142,040.34 is: 212,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,542.10 : 711,605.79 = 142,040.34 : x
  2. Step 2: Convert to fraction form
    474,542.10/711,605.79 = 142,040.34/x
  3. Step 3: Cross multiply
    474,542.10x = 711,605.79 × 142,040.34
  4. Step 4: Simplify right side
    474,542.10x = 101,076,728,357.57
  5. Step 5: Solve for x
    x = 101,076,728,357.57/474,542.10
  6. Step 6: Final answer
    x = 212,998.44

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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.